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Paper Citation Record · LEDGER

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds

As of 11 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2507.09486.

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pith.paper-citation-record.v1
2507.09486 v1

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measured 50 of 50 reference resolution

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Source: cited_works

Reference resolution

50 of 50 outbound references displayed

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External citation measurements

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Outbound references

Observation 85e4227c-a0eb-448e-ad93-bab77ea70fdb · outbound

This paper cites Aubin, Nonlinear analysis on manifolds, Monge-Amp\'ere equations, Grundlehren Math.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Aubin, Nonlinear analysis on manifolds, Monge-Amp\'ere equations, Grundlehren Math

Reference 1

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Observation ba01f6db-4273-4b83-b0b3-7fa661c8f165 · outbound

This paper cites Berndtsson, An eigenvalue estimate for the -Laplacian, J.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Berndtsson, An eigenvalue estimate for the -Laplacian, J

Reference 2

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Observation a54ee7eb-153b-4c7a-b8ac-558832a6821e · outbound

This paper cites Baumgarth, B.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Baumgarth, B

Reference 3

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This paper cites Chen, and L.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Chen, and L

Reference 4

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This paper cites an unresolved cited work.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 5

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Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 6

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Observation 0e501a7b-6432-4d16-8af5-d33f3596ba01 · outbound

This paper cites Cianchi and V.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Cianchi and V

Reference 7

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Observation 91f2289b-d0f3-4dc9-9b3e-c5e850077795 · outbound

This paper cites Davies, Heat kernels and spectral theory, Cambridge Tracts in Mathematics, 92.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Davies, Heat kernels and spectral theory, Cambridge Tracts in Mathematics, 92

Reference 8

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Observation 68867408-8c22-4930-8c93-37940a04e754 · outbound

This paper cites an unresolved cited work.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 9

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Observation b9242e8e-97fe-42c4-bd49-859285711a83 · outbound

This paper cites Uniform estimates of Green functions and Sobolev-type inequalities on real and complex manifolds.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Uniform estimates of Green functions and Sobolev-type inequalities on real and complex manifolds

Reference 10

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Observation 9cebdc90-0ddb-489a-a175-2c86210d79c1 · outbound

This paper cites Some Sobolev-type inequalities for twisted differential forms on real and complex manifolds.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Some Sobolev-type inequalities for twisted differential forms on real and complex manifolds

Reference 11

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Observation 3064215d-b442-43a7-9c59-3ba2d64b6a08 · outbound

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Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 12

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Observation 2169b9e7-7563-4a6b-9766-ea61ae263411 · outbound

This paper cites Donnelly and P.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Donnelly and P

Reference 13

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Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 14

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Observation 2cfdbe1c-da17-40cb-b9d1-a2f48f2fc995 · outbound

This paper cites Egidi, K.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Egidi, K

Reference 15

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Observation 8706f344-536e-429a-b327-86435cb13bf3 · outbound

This paper cites Fabes, N.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Fabes, N

Reference 16

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Observation 479cf778-c791-42fd-9176-5bb8b8cb32ec · outbound

This paper cites Gallot and D.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Gallot and D

Reference 17

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Observation 019c0baf-29bf-424a-9994-5d4121f8ea7a · outbound

This paper cites Guo, D.H.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Guo, D.H

Reference 18

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Observation bf76cd08-f91a-4b75-8c7d-cb1cccecd3b0 · outbound

This paper cites Diameter estimates in K\"ahler geometry.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Diameter estimates in K\"ahler geometry

Reference 19

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Observation 5a1b7235-84ba-42a4-af49-4289f5493de3 · outbound

This paper cites Sobolev inequalities on K\"ahler spaces.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Sobolev inequalities on K\"ahler spaces

Reference 20

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:08:49.967686Z digest=sha256:1edc6662086566852c8ce1ff352a09cd13f14ccd8dfe6278a4eebf77bac94c6a

Observation 35dd9b88-2559-4bd7-90e0-80d9b4d427a5 · outbound

This paper cites Guo, D.H.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Guo, D.H

Reference 21

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Observation 5862f9e7-5428-4ff0-83c7-326ad011b132 · outbound

This paper cites Guo, Bin, D.H.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Guo, Bin, D.H

Reference 22

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source=arxiv_source observed=2026-08-06T18:08:50.129765Z digest=sha256:05662e93a3a69423010819bad992a423e16c91226de86e81ebb19e3a0995a648

Observation f2f375f2-cf8f-4e38-ae84-c793ecc9da71 · outbound

This paper cites Gilbarg and N.S.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Gilbarg and N.S

Reference 23

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This paper cites Gol'dshtein and M.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Gol'dshtein and M

Reference 24

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This paper cites K\"ahler families of Green's functions.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds K\"ahler families of Green's functions

Reference 25

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local_arxiv, observed 2026-08-06T18:08:53.316527Z

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source=arxiv_source observed=2026-08-06T18:08:50.397266Z digest=sha256:9c621677105b1c6da18e6c90032e744d7bf7f6acd4fd0f0a844f6b72a6279242

Observation 16ad5ae0-a442-4b55-af72-dd7dd2b880e6 · outbound

This paper cites Gr\"uter and K.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Gr\"uter and K

Reference 26

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This paper cites Hao, Lecture notes on harmonic analysis, Available online at http://www.math.ac.cn/kyry/hcc/teach/201912/P020200428625504254918.pdf.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Hao, Lecture notes on harmonic analysis, Available online at http://www.math.ac.cn/kyry/hcc/teach/201912/P020200428625504254918.pdf

Reference 27

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source=arxiv_source observed=2026-08-06T18:08:50.561832Z digest=sha256:fddedca3d92113ca8fe68ef346d91aed3fd0e300cc225333e682201f8648640b

Observation 24b5db08-b391-4c98-a36b-66ef70fafa6d · outbound

This paper cites H\"ormander, L^p -estimates for (pluri-) subharmonic functions, Math.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds H\"ormander, L^p -estimates for (pluri-) subharmonic functions, Math

Reference 28

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Observation 21e83a51-82ef-48bd-a791-6a63e9512340 · outbound

This paper cites Hebey, Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities, Courant Lect.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Hebey, Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities, Courant Lect

Reference 29

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source=arxiv_source observed=2026-08-06T18:08:50.733121Z digest=sha256:f83097bcebb4a91c84e5c383b320dc7ddd031d1a33a066661229360f1056bb4f

Observation 7d62f9ef-1510-4782-96e8-50e2199c8508 · outbound

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Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 30

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source=arxiv_source observed=2026-08-06T18:08:50.827563Z digest=sha256:dd2c0946924fc3dec511ce251f6416b4fc1d0de88e7048bb57cdc46cd897d8ec

Observation 50868b9c-ec0f-45ea-8d2b-14e5e3d07d74 · outbound

This paper cites Laurent, Uniformly elliptic operators on Riemannian manifolds, J.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Laurent, Uniformly elliptic operators on Riemannian manifolds, J

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source=arxiv_source observed=2026-08-06T18:08:50.920798Z digest=sha256:e3e2291c2044b3f79fd531e522b95167728edcd337dabc00c6347c2f611e277e

Observation 2f857680-9077-43e4-bf62-9412dece5b1d · outbound

This paper cites Krantz, calculation and estimation of the Poisson kernel,J.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Krantz, calculation and estimation of the Poisson kernel,J

Reference 32

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source=arxiv_source observed=2026-08-06T18:08:51.021977Z digest=sha256:b4b8b91bc1e9dcb65c18fb319b967cf536da88e0c079b95755456e70260ed508

Observation f6b26445-6d65-4ba6-8aa9-7cd3b9d9368a · outbound

This paper cites Li, On the strong L^p -Hodge decomposition over complete Riemannian manifolds, J.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Li, On the strong L^p -Hodge decomposition over complete Riemannian manifolds, J

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Observation 836748ad-3c00-4289-a9a9-f9561da11605 · outbound

This paper cites Li, Riesz transforms on forms and L^p -Hodge decomposition on complete Riemannian manifolds, Rev.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Li, Riesz transforms on forms and L^p -Hodge decomposition on complete Riemannian manifolds, Rev

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:51.304807Z digest=sha256:b2434281ec0da6fc847c002033179115ac7e4d724270560c0fd13a7a37b659d9

Observation 13d99272-b4c6-46d3-9ba3-565a746ddb33 · outbound

This paper cites Li, Geometric analysis, Cambridge Stud.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Li, Geometric analysis, Cambridge Stud

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verified fuzzy
raw_fallback, observed 2026-08-06T18:08:56.981866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:51.536417Z digest=sha256:cc4ca126e95e4f010ee5e3d13e61dded8fd192896b457aa7e97aafc94e5770d4

Observation d3afdf29-4a86-44af-a1f5-4418e6b98ffd · outbound

This paper cites Li, L^ p -estimates and existence theorems for the -operator on complete Riemannian manifolds , Adv.Math.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Li, L^ p -estimates and existence theorems for the -operator on complete Riemannian manifolds , Adv.Math

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:56.674752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:51.708456Z digest=sha256:920b4e5a72689a90a602c7a458009bf66755afde4b897cd860b176ddc33662ee

Observation a619733c-01dc-444f-afb2-1f348450cb7a · outbound

This paper cites an unresolved cited work.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:08:56.367038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:51.888421Z digest=sha256:53a0a227891d21a0a41c7842bb437bd6c1bcba551691268b2c19e192f1315f1f

Observation fd33e2ee-67f6-47e1-b192-b53a461c46dd · outbound

This paper cites Maggi and C.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Maggi and C

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:56.075563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.037456Z digest=sha256:88be2a77eaaaf846c90a7abb18907041b7f827a946590c6cbe7ef9e9d84206df

Observation 2ec702d6-3a67-4ddd-aeb5-f6a0ad953cd6 · outbound

This paper cites Nicolaescu, Lectures on the geometry of manifolds, Third edition, World Scientific Publishing Co.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Nicolaescu, Lectures on the geometry of manifolds, Third edition, World Scientific Publishing Co

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:55.820516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.188263Z digest=sha256:f96655121bb9c16c74ef40976fbbcb991074a2361f7647bee7d455b352664568

Observation f7680080-5cd3-4d6e-b5f8-95f99a6e4938 · outbound

This paper cites Robert, Existence et asymptotiques optimales des fonctions de Green des opérateurs elliptiques d’ordre deux,.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Robert, Existence et asymptotiques optimales des fonctions de Green des opérateurs elliptiques d’ordre deux,

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:55.496618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.364414Z digest=sha256:24fe56d6713a405d78a18ec74249fd7afd69ff651209462798945f6ebce4737e

Observation d3ffc428-4663-42a5-a707-7baec722472c · outbound

This paper cites Rosenberg and D.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Rosenberg and D

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:55.264026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.434750Z digest=sha256:b2d43a9303a7daebeda1d84b79133a0fcc58eee59074437203193dc50684e6a8

Observation 3290a59d-e4b7-4ae2-be3f-7d4f49d984d0 · outbound

This paper cites Rumin, Spectral density and Sobolev inequalities for pure and mixed states, Geom.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Rumin, Spectral density and Sobolev inequalities for pure and mixed states, Geom

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:55.065959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.518824Z digest=sha256:5fd31d7728520b9e2fa99838103e34bc02044738d81ebdeb817f6ae63657ee11

Observation 00c51c86-ea1e-44d5-a262-179f6dc5aacd · outbound

This paper cites Schwarz, Hodge decomposition—a method for solving boundary value problems, Lecture Notes in Math., 1607, Springer-Verlag, Berlin, 1995.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Schwarz, Hodge decomposition—a method for solving boundary value problems, Lecture Notes in Math., 1607, Springer-Verlag, Berlin, 1995

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.927417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.566735Z digest=sha256:23eb1ef218da3d52e65533b120c55b153a3cd964d197eda4175acd5538ef331a

Observation 992c2783-a6fe-49a0-9609-a2992d360556 · outbound

This paper cites Scott, L^p theory of differential forms on manifolds, Trans.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Scott, L^p theory of differential forms on manifolds, Trans

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.729538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.614319Z digest=sha256:1c4c29ae31ad93fb97471cfd87e1d1c49b46e08c2bd56de132a9af1f0c53a299

Observation 523ea10b-a058-4aa8-b0fc-484bb50944a1 · outbound

This paper cites Aspects of Sobolev-Type Inequalities, Cambridge Univ.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Aspects of Sobolev-Type Inequalities, Cambridge Univ

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.610290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.675165Z digest=sha256:b7ada04bc6bc0524f0baf987c2343873524d12e9e385103bacef217a95957671

Observation 8584661e-90c0-4b04-ba4b-f8c6c7e53b2e · outbound

This paper cites Schoen and S.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Schoen and S

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.486315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.709622Z digest=sha256:cd32021d74fa85c6290a5e99a4beea2d8a8dc44cd990b6d91e76501154451822

Observation 2a9498d4-1b50-44db-a133-0e30f99d7f44 · outbound

This paper cites Wang, The Calderón-Zygmund inequality on a compact Riemannian manifold, Pacific J.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Wang, The Calderón-Zygmund inequality on a compact Riemannian manifold, Pacific J

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.400415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.845325Z digest=sha256:381f154e8326a91b9c67aaf03c06c0d0f2e6bc40aeb0d5aefebbb24fa176869c

Observation d5e657f3-0588-4e5d-aebd-40e4bb08a0a8 · outbound

This paper cites Wang and L.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Wang and L

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.311671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:52.954399Z digest=sha256:b8478771e5f4b41a83f1cfcb24b35defefd3428a6722eaf701142e9ae5ecf6ee

Observation c243dadb-c920-41b5-8c07-e1a2492dacb4 · outbound

This paper cites Zhu, A generalization of the Kodaira vanishing theorem and the Kodaira embedding theorem, Thesis (Ph.D.)–Boston University ProQuest LLC, Ann Arbor, MI, 1994, 69 pp.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Zhu, A generalization of the Kodaira vanishing theorem and the Kodaira embedding theorem, Thesis (Ph.D.)–Boston University ProQuest LLC, Ann Arbor, MI, 1994, 69 pp

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.208334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:53.016134Z digest=sha256:0d8c98cc80e7f8965494a78cf6f040d468f57971521d77993e6a82d09bafc9c4

Observation f9ce0781-6d4a-4b46-aa0a-e6ee71e23ad1 · outbound

This paper cites Zhang, Sobolev inequalities, heat kernels under Ricci flow and the Poincar\'e conjecture, CRC Press, Boca Raton, FL, 2011.

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds Zhang, Sobolev inequalities, heat kernels under Ricci flow and the Poincar\'e conjecture, CRC Press, Boca Raton, FL, 2011

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:08:54.112632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T18:08:53.054972Z digest=sha256:c7425aa663c17616d17e744ceb074699b205ed23b55e43ffa4a9b1322c756ed7

Pith citing papers

No inbound Pith citation observations are available.