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Paper Citation Record · LEDGER

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding

As of 18 August 2026, this Paper Citation Record lists 100 of 113 outbound references and 2 inbound Pith citation observations for arXiv:2505.02136.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.02136 v1

Coverage vector

measured 100 of 113 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:09:59.165198Z

measured 102 of 102 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:13:05.830219Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T18:09:22.081474Z

Reference resolution

100 of 113 outbound references displayed

  • verified exact0
  • verified fuzzy25
  • unresolved74
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f1fe4d84-0489-44ef-9499-df0aeb20757b · outbound

This paper cites Bai and J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Bai and J

Reference 1

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source=pdf_text observed=2026-08-16T01:09:58.597009Z digest=sha256:8e8a08d203dca806223c6fd17adf99f8050e951bb194a69b5256c2a4dbd61e93

Observation e7440d0d-1f99-42fc-9539-08d1076e9053 · outbound

This paper cites Bai and J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Bai and J

Reference 2

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source=pdf_text observed=2026-08-16T01:09:58.602574Z digest=sha256:bf6ae26f4efeb18a0cdd61c44104736d138cf293c2b414f2ed7255a419e49653

Observation 2c7c9b80-e05c-47ce-ab14-4f8453bed23c · outbound

This paper cites Bai and J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Bai and J

Reference 3

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source=pdf_text observed=2026-08-16T01:09:58.607947Z digest=sha256:41e9b6a30ecc471f9a934f4c84ff5df705066620b985cb1f5c3774a0ba757685

Observation eae0a578-95ec-4cea-9aef-c0a0be6b84ed · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-16T01:09:58.613059Z digest=sha256:06ce46af1ed7c2634c9cb33f680b66b38772cdee79b5228f3a8eb65e058d490c

Observation 217cfaaf-1cdf-4529-9ee1-58911647084c · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-16T01:09:58.617669Z digest=sha256:88053f9ddcd6898c1e4ad63ec779eced6bb2691dd634bc600d7cfb270be54849

Observation a5f1ebc4-a203-40bf-8c3c-980e60a3e023 · outbound

This paper cites Bownik, Atomic and molecular decompositions of aniso tropic Besov spaces, Math.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Bownik, Atomic and molecular decompositions of aniso tropic Besov spaces, Math

Reference 6

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:58.622960Z digest=sha256:239c8ca376ba00ba7c99cc6667ac58ab829a3a9210ae685807dfe8d63cebe087

Observation 5293d4e9-d62f-4317-bf8f-58b344697c4b · outbound

This paper cites Bownik, Anisotropic Triebel–Lizorkin spaces with do ubling measures, J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Bownik, Anisotropic Triebel–Lizorkin spaces with do ubling measures, J

Reference 7

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source=pdf_text observed=2026-08-16T01:09:58.627417Z digest=sha256:272bd3cf4c359e2b1868336c0ca9547245fe4dcf54f71c1d131c5eb1bb785d5c

Observation 1ecda296-4f8e-4406-8220-a69b9ebc5783 · outbound

This paper cites Bownik, Duality and interpolation of anisotropic Tri ebel–Lizorkin spaces, Math.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Bownik, Duality and interpolation of anisotropic Tri ebel–Lizorkin spaces, Math

Reference 8

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source=pdf_text observed=2026-08-16T01:09:58.765765Z digest=sha256:7f8ec834a660596c568ef303ae35290a96a77d4985ffb73efcf4442709e3eada

Observation 58278c13-5b2a-4d95-8dd5-aab46537b14c · outbound

This paper cites Bownik and K.-P.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Bownik and K.-P

Reference 9

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source=pdf_text observed=2026-08-16T01:09:58.770394Z digest=sha256:eaa4b76323e87cc5161777f9c1332fdb29523ddddbe016c80b8730eedf28176d

Observation 889e9b03-0012-4550-9448-f7dfb8fe0260 · outbound

This paper cites Bownik and D.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Bownik and D

Reference 10

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source=pdf_text observed=2026-08-16T01:09:58.775420Z digest=sha256:527e4102ba1aadf5489d1f03ec8477330b045cbae198408e0c066c7eaad2d7b7

Observation df429c7f-e8ff-4a64-85f5-0cccf70694b0 · outbound

This paper cites Maximal Function and Atomic Characterizations of Matrix-Weighted Hardy Spaces with Their Applications to Boundedness of Calder\'on--Zygmund Operators.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Maximal Function and Atomic Characterizations of Matrix-Weighted Hardy Spaces with Their Applications to Boundedness of Calder\'on--Zygmund Operators

Reference 11

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source=pdf_text observed=2026-08-16T01:09:58.779823Z digest=sha256:b974548053766f00188982827c30a213de41bea55d60b07cac88e244a930a78c

Observation 47eb29df-0484-4aa0-bcc6-07cfa9e0a666 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-16T01:09:58.785555Z digest=sha256:9ffcef39107f2399534e43713a975a96ebb4682b7ca515b8b14c532fd60285b7

Observation 2c050bc2-5ef5-425d-bf76-9791cf7d0fbc · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-16T01:09:58.790317Z digest=sha256:851efc2cdbaeda5629a4e34f7e746edee78c403c8c5c25cc8f837570b7e8e32c

Observation 4aed3105-b7cb-4b17-9993-515349d9c00a · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 14

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source=pdf_text observed=2026-08-16T01:09:58.794741Z digest=sha256:18f92ac3a638ba4ec58f8181ed7bec16eb5eb39bc20539eb88865ae563266967

Observation 05d70f52-5d6f-4895-8c8a-3e5349bd5092 · outbound

This paper cites New Characterizations and Properties of Matrix $A_\infty$ Weights.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding New Characterizations and Properties of Matrix $A_\infty$ Weights

Reference 15

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source=pdf_text observed=2026-08-16T01:09:58.799346Z digest=sha256:3aa6fa2d14eac8c8e306ab565be652a5ef7dfe6d69f89e1fe4bf1807d4d92d4a

Observation 820a1526-82d7-4fec-a756-af4b73354498 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-16T01:09:58.804025Z digest=sha256:d16e94919a181b831a9778cf60ec9f1f35e5160408bb2ec5422b9a2fddbefe71

Observation c1efb982-f1d5-4bc5-9b18-6e6a109f00db · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-16T01:09:58.809146Z digest=sha256:d13ef92028e09ae45f44f266ad127690acb7c3a0ff2eea4e9b4ed6f406fbb916

Observation 50a2a236-a9f0-4344-8b4c-373674a6ea8c · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-16T01:09:58.813070Z digest=sha256:440fd8524e6001fa196ffc855a18cdf4fd6ae905ffb9558a11ebb55d498d6932

Observation 1361eed1-12de-4a2b-b93f-13c8a1c802ac · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-16T01:09:58.817295Z digest=sha256:d77498d780253511a60e0d7adf6d3398099a55c9add5202cbc580f2fe6975a1f

Observation 7200b2f3-6d91-461f-9403-e683f8ba46e6 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 20

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Observation f4d1e9a3-cdaa-44a0-8820-3d15e6f1914c · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-16T01:09:58.825681Z digest=sha256:4bb3daab2ba0ae64a290185d733d230b02d349992d1a04829467c38811d41956

Observation 473b5606-57ce-4aae-a5f1-6dc163f26918 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-16T01:09:58.829781Z digest=sha256:85750b7888db571cbcc455189224a9064b3579e410a40c751a8cc9bb962e832b

Observation 9ddd98c4-1445-4542-9831-d94b6c5f2b32 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-16T01:09:58.834715Z digest=sha256:e15d6ee8877d52b7f88a07b80cb3503b9203747771e6ecee5a55326dda5db222

Observation aad8dda9-105c-4e62-bdd0-f037cc17bf6a · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-16T01:09:58.839054Z digest=sha256:a250410ed2a36e496ed2da2282fd0b9f1d994815b3fa9004889849e42b5b7bab

Observation 72905ace-5ed4-41b6-8f5b-1e3593f7d2fd · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-16T01:09:58.843159Z digest=sha256:af5627035d51da9594beb1060769c08c5d6e9b9a8164e2bd7b981e217608c34f

Observation 99849b0e-16bb-4efb-81ac-7333fc656b95 · outbound

This paper cites Bui, Weighted Besov and Triebel spaces: Interpol ation by the real method, Hiroshima Math.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Bui, Weighted Besov and Triebel spaces: Interpol ation by the real method, Hiroshima Math

Reference 26

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source=pdf_text observed=2026-08-16T01:09:58.848457Z digest=sha256:5652f95b4680815ed6555974de87580d3767ffed4ca34519ef4558544c8590fe

Observation 8c862904-c00e-457f-8268-ddc118a46f03 · outbound

This paper cites Bui and M.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Bui and M

Reference 27

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source=pdf_text observed=2026-08-16T01:09:58.853010Z digest=sha256:07d2e94ef7a8bc8cc88785d3ff73404de0b9c0125d934b00d8bba7e811987e01

Observation 981442aa-f6c8-4629-b193-67fec8a9f226 · outbound

This paper cites Cho, Continuous characterization of the Triebel –Lizorkin spaces and Fourier multi- pliers, Bull.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Cho, Continuous characterization of the Triebel –Lizorkin spaces and Fourier multi- pliers, Bull

Reference 28

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source=pdf_text observed=2026-08-16T01:09:58.857425Z digest=sha256:950dabdb06fb703e85a7000a2c8d5bb42996d340e1ba43a8e6e15dfd82fbde19

Observation f5d57b63-e12d-4123-8f91-558d9e132694 · outbound

This paper cites Dafni and J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Dafni and J

Reference 29

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source=pdf_text observed=2026-08-16T01:09:58.861999Z digest=sha256:29516d1770ca6487e0088c897112eb9dcf0e897cfbcb25db1787979cf9e52acd

Observation 2708a29c-10dc-4291-9afb-0499140590c8 · outbound

This paper cites Daubechies, Orthonormal bases of compactly support ed wavelets, Comm.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Daubechies, Orthonormal bases of compactly support ed wavelets, Comm

Reference 30

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source=pdf_text observed=2026-08-16T01:09:58.865822Z digest=sha256:8fc1b7969479c158b999e49a3a080775da38abffa127ec89b74b6a876f2d0ca0

Observation 92dcac8d-d659-479c-90d3-6a44bf58604b · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 31

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source=pdf_text observed=2026-08-16T01:09:58.869780Z digest=sha256:b7a7fc4c45f32b9d7ca37a55fd48f51a71bec126b11797447f0afe9d4d8881ec

Observation d3b4444f-000f-464c-a9ca-27f5d41b71e1 · outbound

This paper cites Di Plinio, T.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Di Plinio, T

Reference 32

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source=pdf_text observed=2026-08-16T01:09:58.874088Z digest=sha256:66f6f332e33c1f6f63363325da0c708c1f69110e0341696e565b849c6536682d

Reference 33

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source=pdf_text observed=2026-08-16T01:09:58.878055Z digest=sha256:d65c469df91294ca8872f3614d572c9583201069bc8178ed1d0096d7bfdcf3f9

Observation 1c3c0a68-e357-4fec-b9e7-c64c477ccaed · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 34

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source=pdf_text observed=2026-08-16T01:09:58.882576Z digest=sha256:258875f6861d5c1dd3c375b9b349a541e78d2f5ddf68fa3d4fab07051cea144e

Observation 63024f5f-d454-431e-9014-ea38bf32eb98 · outbound

This paper cites Fe fferman and E.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Fe fferman and E

Reference 35

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source=pdf_text observed=2026-08-16T01:09:58.886916Z digest=sha256:f331b9017fdaecec9760542d6f42647ae86a7a300265626e674de4e909359c0b

Observation 4f579cc7-e63f-46d0-aa62-68bcd3be2798 · outbound

This paper cites Fe fferman and E.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Fe fferman and E

Reference 36

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source=pdf_text observed=2026-08-16T01:09:58.891379Z digest=sha256:68dd1e95ac8292707b7c58fad7a4c124d76fe6ad2dbff7e811f27cc174f623c7

Observation fb94263b-fbfb-416d-8d37-211983ae51ca · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 37

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source=pdf_text observed=2026-08-16T01:09:58.895719Z digest=sha256:7ae445a5964181d91dd00bc25402ebc254ca286c008b5ac5cfd037e2f54aff4a

Observation af0ef30f-f503-461e-92eb-cf204c80ea52 · outbound

This paper cites Frazier and B.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Frazier and B

Reference 38

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no resolver link, observed 2026-08-16T01:09:58.899726Z

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source=pdf_text observed=2026-08-16T01:09:58.899726Z digest=sha256:657c88f615c5237502a6177515c24b858a70dc2b58d6c57f6efe2b1700ef82cb

Observation 36d84b13-b037-42fd-b7d1-a4b47a808fb1 · outbound

This paper cites Frazier, B.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Frazier, B

Reference 39

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source=pdf_text observed=2026-08-16T01:09:58.903860Z digest=sha256:3f18160654ff14b866e68103dfd6db5cb0d9273533765d0ef42c3f63080a1c72

Observation 3be0585f-3663-440a-969b-2e8d1de7e921 · outbound

This paper cites Frazier and S.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Frazier and S

Reference 40

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no resolver link, observed 2026-08-16T01:09:58.908154Z

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source=pdf_text observed=2026-08-16T01:09:58.908154Z digest=sha256:649d28092057a7bfca8703193c20a5563c439e5d2073d64f875646260d606e24

Observation d47f8eb2-e26a-4a65-b0bc-32f17d4a9666 · outbound

This paper cites Frazier and S.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Frazier and S

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-16T01:09:58.912144Z

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source=pdf_text observed=2026-08-16T01:09:58.912144Z digest=sha256:9c7af7e9e06d58568a5edbde61d54fef7fb122d900d40898e72c982bbf39a87b

Observation 253ca4ff-e9fc-4647-a302-34d9f7a53333 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.731314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.916215Z digest=sha256:37a1feeaaaf35a68db3dbd6bd1d4767b815ae6fb4bd6fecc2e1f5ff6b71697d6

Observation 6c545f7a-129a-4fbf-907c-222002cb62df · outbound

This paper cites Goldberg, Matrix Ap weights via maximal functions, Pacific J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Goldberg, Matrix Ap weights via maximal functions, Pacific J

Reference 43

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no resolver link, observed 2026-08-16T01:09:58.920568Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T01:09:58.920568Z digest=sha256:0c31db2a3bc667a4e2caa0747f74e167d4cb035f5b12fa1382de6c0e3d68689f

Observation baa12e7a-1ae6-4e9b-9faf-e75b2caa1d38 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.704131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.925436Z digest=sha256:20c9fb6e8fc15823f9013f52d934dcfb14dbdbec4e20867425d346946cfe64f8

Observation cba36d13-5240-4cf2-b9b2-daf4a27b9482 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.689101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.929556Z digest=sha256:5ab9f700a11baed01afba64b5e3b122c610dae239961ec93346e7191144b5619

Observation 9a0a3622-1ad9-4b78-bd06-ac97e80dcfa5 · outbound

This paper cites Grafakos, Classical Fourier Analysis, Third editio n, Graduate Texts in Mathematics 249, Springer, New Y ork, 2014.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Grafakos, Classical Fourier Analysis, Third editio n, Graduate Texts in Mathematics 249, Springer, New Y ork, 2014

Reference 46

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no resolver link, observed 2026-08-16T01:09:58.933843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:58.933843Z digest=sha256:644a70ed66bf16228d5a1113a4fde3a773bbf42a0a1fb7d6fe52f3037f957e52

Observation 2beef7e9-a73e-4a4c-a18a-a1d8c4450b08 · outbound

This paper cites Grafakos, Modern Fourier Analysis, Third edition, G raduate Texts in Mathematics 250, Springer, New Y ork, 2014.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Grafakos, Modern Fourier Analysis, Third edition, G raduate Texts in Mathematics 250, Springer, New Y ork, 2014

Reference 47

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T01:09:58.937817Z digest=sha256:2769b8888c7ebe1e9efb8bf62db0759cafbef6f1f4acc15116f7a7fa1008ffdc

Observation 68f89a51-c047-4432-be4e-e34c8cbfd3b5 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.652975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.941753Z digest=sha256:ab6cb903cd8b5cfe2ea8a29161166416e96cad53c80b566e72a13f6ca0565d4d

Observation 91ceec00-e889-4ea3-9797-f8efa7631cbc · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 49

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no resolver link, observed 2026-08-16T01:09:58.945576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:58.945576Z digest=sha256:f8a15c9b212943dbe81bc44b4e70910e38db783b715fd5f09072fcfa5deb21de

Observation a6474651-8580-46f8-b8a5-c0dac71a9588 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.625911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.949271Z digest=sha256:4dfacd0daf65ac45f3675d7111c8f167713ac1d0e1c4acfad2029c43a05f44f8

Observation 61b4e8ba-77d4-47b4-bf59-f82e5db13898 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.610329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.953373Z digest=sha256:73e1cbef31ede4d34eceaa3c385a8b84c79a513a49f60c00d7198d24203923c5

Observation 0fed2756-3573-4323-851f-b992f0d23687 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 52

Resolution
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no resolver link, observed 2026-08-16T01:09:58.958142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:58.958142Z digest=sha256:a12744e5e2509340a5148021eed366ef8cd9b95da41ab89bd294432dbd8c3a0b

Observation b544fd34-5ba7-411a-ac88-cf41a0b9c311 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.582675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.962360Z digest=sha256:d5aaebacaa865abfcf26f8d2fc548c3ef0ab57bc83409c6d6614dc976756d34c

Observation 58d6aaee-6214-45c5-ae1d-1526889f56ca · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.564799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.966389Z digest=sha256:d7d14c7daa7d286bc0d4cd33bea8749bbffff2a7b35216f3fb3ec908dd19bc4d

Observation 1652dd86-a60f-41e4-8b5a-e63ba675f572 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-16T01:09:58.970551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:58.970551Z digest=sha256:87ddf40230f7ce7c630e469b90f334597ee623141b8cf3e4e50aca88e3931531

Observation 5697e00a-2c9d-42a5-9685-64b2ce224e31 · outbound

This paper cites Ho, Singular integral operators, John–Nirenber g inequalities and Triebel–Lizorkin type spaces on weighted Lebesgue spaces with variable exponents, Rev.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Ho, Singular integral operators, John–Nirenber g inequalities and Triebel–Lizorkin type spaces on weighted Lebesgue spaces with variable exponents, Rev

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.540550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.974748Z digest=sha256:63212b5cd5b10333475a6b4cd89b1968081e8ba55334d19047667aaa3251e732

Observation 97091da4-3859-4e33-9026-42bc0a2807c3 · outbound

This paper cites Ho, V ector-valued operators with singular kerne l and Triebel–Lizorkin block spaces with variable exponents, Kyoto J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Ho, V ector-valued operators with singular kerne l and Triebel–Lizorkin block spaces with variable exponents, Kyoto J

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.525817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.978901Z digest=sha256:0e85cb8742c9ce5d5780bf7f39f83ca8d3593c08ceb58302881b8c83ba8f0001

Observation 7cd71823-f1b2-448a-9593-be383fd07150 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 58

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unresolved
no resolver link, observed 2026-08-16T01:09:58.982833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:58.982833Z digest=sha256:afe4e810f92f2179cc06f343c4d9c31003751e0befd4a9be638bc0a24cacccd6

Observation d4590b7d-748f-46d0-95f9-e24eb0f5a633 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-16T01:09:58.987170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:58.987170Z digest=sha256:4cbed9afbe46d93797791b0532a17121215b818ad72eb63db0bdf8b6cd9f3aed

Observation cbc4ec29-6023-4142-a023-98620666f047 · outbound

This paper cites Kozono and M.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Kozono and M

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.488733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.991577Z digest=sha256:99a059c3f2e9526a3b002531885885228e7936bcd489d8b2c8a90539fda6bf96

Observation cb1d22e0-a950-4385-851e-e17b5ad7d6eb · outbound

This paper cites Kakaroumpas and O.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Kakaroumpas and O

Reference 61

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unresolved
no resolver link, observed 2026-08-16T01:09:58.995719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:58.995719Z digest=sha256:be2358070bec56c89b808c555dfb8199076a1ff038211a25df6cfb015ac34744

Observation 172e6853-1629-4a33-93b7-6a933c8128e8 · outbound

This paper cites Lerner, K.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Lerner, K

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.472912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:58.999952Z digest=sha256:c3f0d99c45d50e4e97cd31b561b8e1f6f7c5e7b1f2c23d3044afb8e87c113b30

Observation ee863ebb-cd22-406c-8992-52096110319f · outbound

This paper cites Lerner, K.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Lerner, K

Reference 63

Resolution
malformed identifier
no resolver link, observed 2026-08-16T01:09:59.003996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:59.003996Z digest=sha256:734c118bb887af0b12932ed0be6976968e8a9ac6a4939d737cbe0fdebfcd717d

Observation 3fd935fc-1765-48ab-95f5-f0e407e68b1e · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.455443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.008166Z digest=sha256:e92a9670a221f64ca2215d01995f75ddfdfd21942c87f2a256c95224005c8d09

Observation 18930660-0b6a-48c2-86cc-01aa227ad9d9 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.437877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.012174Z digest=sha256:1c49ed235ac42fce099baaba250b487d9e95a07cd5e6a530a79636b62e20ed1b

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.421463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.016808Z digest=sha256:035a1b3e7d66aa74a51c625abaaeb0a33b5019a920d239d6341801a50d9f5293

Observation 44f4ad8b-55f1-46cc-9168-1958a353978f · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-16T01:09:59.021063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:59.021063Z digest=sha256:45e197977f8e34c94d7e67c82c71b815f2c98110c7febc63d9c1eb9c05f42586

Observation c8d8c30d-4670-4379-b3b1-7a8d33966937 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-16T01:09:59.025409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:59.025409Z digest=sha256:a1dd97abaec5aa17e9feab975754f0df302da64e0e9f4e11d80ad9ec8afff4ee

Observation 5734f6c2-26ea-4af1-8a25-dffbe7ce8a0e · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.382629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.029616Z digest=sha256:ce91604ad0f0ee974928c1e610ff36fc6b49edd1912900367509f5b56fc70262

Observation 1ccb09d9-9ba9-43c3-bb06-ec45c052d1dc · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.367907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.033840Z digest=sha256:a2659f4657318f9fa9b32d9e31d8bc5c11dbeaa0d367dcaad1c2b13453eb01b6

Observation 093e4f38-75bb-4ae2-97e0-eb27f71c8768 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 71

Resolution
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raw_fallback, observed 2026-08-16T01:10:00.354458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.038197Z digest=sha256:f1345c2f0c72bea2ba8636263b9bd0f799707bfa29e0a5efc5fa54f1bc3b3c8a

Observation a6378e9f-27ee-464c-8111-b8d50baf1c42 · outbound

This paper cites Meyer, Wavelets and Operators, Translated from the 1 990 French original by D.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Meyer, Wavelets and Operators, Translated from the 1 990 French original by D

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.339907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.042552Z digest=sha256:76914ed4f2164c3eb7c9634fd082e94baf9a355e618ffe76e599dafdf462f0c7

Observation b335ef5d-2ab7-4d5f-9029-b82c02cd07e3 · outbound

This paper cites Nakamura, T.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Nakamura, T

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.325066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.047017Z digest=sha256:86e33c9a2470a0269dbf8ff2c3fd99040fd882b66080d3e6385b5869c50766d0

Observation 1c3491be-9498-4bae-ac5c-500686c32b2d · outbound

This paper cites Nazarov, S.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Nazarov, S

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-16T01:09:59.051400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:59.051400Z digest=sha256:d5f503dbcc115e4304fa058e249d89dd3fa6a509bb092ef0d51cb8640a03c0bd

Observation d2a70cd1-aee4-49cf-b6bf-e574f3e6c815 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.299318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.055875Z digest=sha256:47b733d3cccc438897cdf0a3946a82d247e576b798911782d1f1a537accf34d5

Observation b4bf8a17-4565-4c64-8045-d648e53d7bb7 · outbound

This paper cites Nielsen, Bandlimited multipliers on matrix-weight ed Lp-spaces, J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Nielsen, Bandlimited multipliers on matrix-weight ed Lp-spaces, J

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.283457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.060216Z digest=sha256:c9bed9fd26cb0ca7c90d8553c44c33c9d8ff31e2c75232cbe38cfffe2d5bbc94

Observation 71484f49-294c-49ea-af4a-4dd376a0e4b9 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 77

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.266631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.065008Z digest=sha256:9925b61d6636c378659dd20748b4139f8533dddc2437fc48d119a9882b4c89a7

Observation 456c65dd-5d1f-44a3-a3c3-52dee553bb41 · outbound

This paper cites Ron and Z.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Ron and Z

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.249880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.069673Z digest=sha256:d07f825b63c330d211f14156da3a149042a1e9298b4131057140c24226feff69

Observation 63b7c710-49c0-4bc3-a73f-207bdc49ce3f · outbound

This paper cites Roudenko, Matrix-weighted Besov spaces, Trans.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Roudenko, Matrix-weighted Besov spaces, Trans

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-16T01:09:59.074106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:59.074106Z digest=sha256:9b294dff68f250978c9841c55996821f9e354d3bce931c86ab1bd59c04cc92a8

Observation 70464a7f-3ced-4918-8c85-03ad8e8bee4b · outbound

This paper cites Roudenko, Duality of matrix-weighted Besov spaces, Studia Math.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Roudenko, Duality of matrix-weighted Besov spaces, Studia Math

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-16T01:09:59.078712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:59.078712Z digest=sha256:c184fc61faea3e08027a4fb897870f6a05bed66c39339fe1b48c7df4e8afd31e

Observation f1bac697-4b7a-43ae-9f6b-2568793ee55e · outbound

This paper cites Salo ff-Coste, Aspects of Sobolev-Type Inequalities, London Math ematical Society Lec- ture Note Series, 289.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Salo ff-Coste, Aspects of Sobolev-Type Inequalities, London Math ematical Society Lec- ture Note Series, 289

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.213833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.083072Z digest=sha256:f5299b542d1b061aa7df862125a3527d7722754d8a7ba00c62f5defb6810a9c0

Observation f580b3a6-f5ea-40de-8eac-82b5b5c15066 · outbound

This paper cites Sawano, Wavelet characterization of Besov–Morrey a nd Triebel–Lizorkin–Morrey spaces, Funct.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Sawano, Wavelet characterization of Besov–Morrey a nd Triebel–Lizorkin–Morrey spaces, Funct

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.199105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.087151Z digest=sha256:d89b9ba493d4474144452a71372dc0db5bd00642393e97acc66d181c74aebae7

Observation a04ef91e-96e3-488b-a230-e8c835b1b2c1 · outbound

This paper cites Sawano, A note on Besov–Morrey spaces and Triebel–Li zorkin–Morrey spaces, Acta Math.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Sawano, A note on Besov–Morrey spaces and Triebel–Li zorkin–Morrey spaces, Acta Math

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.184037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.091344Z digest=sha256:b625c63c06b92bd1145df6b957e977986d5903026929b074dbe7423cf49044ea

Observation 4c24107d-c884-4c66-a107-58fe31ee6711 · outbound

This paper cites Sawano, Br´ ezis–Gallou¨ et–Wainger type inequalit y for Besov–Morrey spaces, Studia Math.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Sawano, Br´ ezis–Gallou¨ et–Wainger type inequalit y for Besov–Morrey spaces, Studia Math

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.166692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.095425Z digest=sha256:7fb181cb2ecafc73bf13141902489bb23a266ceaaef94aeb16fa6cce3ed58d71

Observation 06ff07bc-7660-4fe5-83b0-c3b465f99454 · outbound

This paper cites Sawano, Besov–Morrey spaces and Triebel–Lizorkin– Morrey spaces on domains, Math.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Sawano, Besov–Morrey spaces and Triebel–Lizorkin– Morrey spaces on domains, Math

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.148729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.099502Z digest=sha256:ad6e472a02661f0a7c81abbd8a587cbcedd390d720b64200d9ccb9a1162f6dae

Observation 4871c01f-637b-493f-8eaf-78c750fc8343 · outbound

This paper cites Sawano, G.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Sawano, G

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.132460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.103493Z digest=sha256:6d3b55eb87c876a9f879565563c6a84f35b18ff825ea419df04d10b07c2060f3

Observation a4b5e62c-cdce-4a07-b740-46132eca7d43 · outbound

This paper cites Sawano and H.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Sawano and H

Reference 87

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.117768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.108065Z digest=sha256:80e2ea6ade43099b8d0017af057e8ddbaed214bc0a09e354fdbfff1abdf4be87

Observation 59666b32-2ec4-4163-aa28-1c8ecb2a3876 · outbound

This paper cites Sawano and H.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Sawano and H

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.102260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.112936Z digest=sha256:f0c4336cbbe1edf3539c6063cc251c6a2b32aaffd82941c77e8d75221a3d4656

Observation 9fb0363e-4539-4fa3-85d6-d2039bed0265 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 89

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:00.087991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.117014Z digest=sha256:2256c1c26c033d28938a6734f1220acbda20e53886d577b2588b5a2fe9295394

Observation f8d113fb-b2af-46ee-90a8-2e01c0cc8386 · outbound

This paper cites Tang, A note on weighted Besov-type and Triebel–Lizo rkin-type spaces, J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Tang, A note on weighted Besov-type and Triebel–Lizo rkin-type spaces, J

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Resolution
unresolved
no resolver link, observed 2026-08-16T01:09:59.121662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:59.121662Z digest=sha256:77b20c554f14de72d5ae2d45f69391f43c0a33629bbe88ab0ee78a88b6a57fd4

Observation 8973d60c-011d-48df-aa57-31a95b1bd290 · outbound

This paper cites Tang and J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Tang and J

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.062711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.126164Z digest=sha256:4e42e1e1a90c52c4e86c47c34eb8f8296a917cce8316be1a027944619a016a50

Observation 3174e3dc-0012-4248-99b6-0266d39cd9a5 · outbound

This paper cites Treil and A.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Treil and A

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.048225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.131522Z digest=sha256:2fa4ea30fec79bf8866268b9ab517f5cf4a78f1d07f0406c3302f347e33a8535

Observation e4263b0f-2e95-4b76-bc8c-d89f92d1ebe1 · outbound

This paper cites Triebel, Spaces of distributions of Besov type on Euc lidean n-space, duality, interpola- tion, Ark.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Triebel, Spaces of distributions of Besov type on Euc lidean n-space, duality, interpola- tion, Ark

Reference 93

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.032977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.135597Z digest=sha256:08a6b3fc2212a1e3952e767e52aea55b2b22c73cc7312ce2a3d1113f3cb28420

Observation 3853793a-67d1-478c-834a-7e7ee6a241e3 · outbound

This paper cites Triebel, Theory of Function Spaces, Monographs in Ma thematics 78, Birkh¨ auser, Basel, 1983.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Triebel, Theory of Function Spaces, Monographs in Ma thematics 78, Birkh¨ auser, Basel, 1983

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:00.015454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.139522Z digest=sha256:ddd4fe9675cf384df0872d73cbc271ca863d1257ad33eca859c14acdd6a80456

Observation d1682d92-4750-41e7-92e2-a42ff40d2e59 · outbound

This paper cites Triebel, Theory of function spaces.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Triebel, Theory of function spaces

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:09:59.999464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.143862Z digest=sha256:cf9e3e195b8aabe957ff62200a709670b59ee2e12476631d310f5df854326cd6

Observation 9e8bf3aa-a952-4d0e-82b3-a0fc5b85dee3 · outbound

This paper cites Triebel, Theory of Function Spaces.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Triebel, Theory of Function Spaces

Reference 96

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:09:59.983285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.147863Z digest=sha256:61477c27bbf21d9f5ba825da3c6f25c3742ec8c88f09807d490f82d6140cbc90

Observation f3c824fa-6331-4f61-8d64-f6d1c933bf4d · outbound

This paper cites Triebel, Local Function Spaces, Heat and Navier–Sto kes Equations, EMS Tracts in Mathematics 20, European Mathematical Society (EMS), Z¨ urich, 2013.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Triebel, Local Function Spaces, Heat and Navier–Sto kes Equations, EMS Tracts in Mathematics 20, European Mathematical Society (EMS), Z¨ urich, 2013

Reference 97

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:09:59.969185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.152049Z digest=sha256:6b9ac6f04ef3d2c61d66c4d52f78888f259fd07d2a489878d52d9aef77a1b519

Observation e422f823-7cc1-43ee-a256-50479218d6ea · outbound

This paper cites Triebel, Hybrid Function Spaces, Heat and Navier–St okes Equations, EMS Tracts in Mathematics 24, European Mathematical Society (EMS), Z¨ urich, 2014.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Triebel, Hybrid Function Spaces, Heat and Navier–St okes Equations, EMS Tracts in Mathematics 24, European Mathematical Society (EMS), Z¨ urich, 2014

Reference 98

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:09:59.954672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.156157Z digest=sha256:9df1befe87ff381c5f24ff5aff9093e9c4b2ed445cdeff8f158100ab1f7b3afb

Observation bc75488a-6fad-4ce4-a922-d4b53e583d5a · outbound

This paper cites V olberg, Matrix Ap weights via S -functions, J.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding V olberg, Matrix Ap weights via S -functions, J

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Resolution
unresolved
no resolver link, observed 2026-08-16T01:09:59.160824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:09:59.160824Z digest=sha256:3c1f366470f2f7dda14c3ac0997a9ab62b5c944e12b7b88e27d97618631d460c

Observation f2228ae4-93a1-49ed-9935-a31f9f2f76c7 · outbound

This paper cites an unresolved cited work.

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding Unresolved cited work

Reference 100

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:09:59.930167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T01:09:59.165198Z digest=sha256:8e764fe6bed1c7495ac1108dd59d114be64f652a13d19831cf1650e803bb88c7

Pith citing papers

Observation 6f956e6f-f367-43d3-8ffd-ee138f275a46 · inbound

Matrix-Weighted Besov--Triebel--Lizorkin Spaces of Optimal Scale: Boundedness of Pseudo-Differential, Trace, and Calder\'{o}n--Zygmund Operators cites this paper.

Matrix-Weighted Besov--Triebel--Lizorkin Spaces of Optimal Scale: Boundedness of Pseudo-Differential, Trace, and Calder\'{o}n--Zygmund Operators Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-16T10:13:05.830219Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T10:13:05.830219Z digest=sha256:2660a124902cc7e11982af46abfc5da88e2f6717ee025996e02dd23919842f46

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Matrix-Weighted Campanato Spaces: Duality and Calder\'on--Zygmund Operators cites this paper.

Matrix-Weighted Campanato Spaces: Duality and Calder\'on--Zygmund Operators Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding

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local_arxiv, observed 2026-08-05T18:09:22.188544Z

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