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Paper Citation Record · LEDGER

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials

As of 17 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.20069.

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

pith.paper-citation-record.v1
2507.20069 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:59:27.711726Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved16
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 17b45007-a68c-4d0f-a0fc-4a8c9e974f3b · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:28.090755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.592067Z digest=sha256:eca910544173e819cd6dd7e0fa83dd1ff57383252c0f1264bfd5254056c1abac

Observation 9e3a6df4-5534-4c8c-a4c3-25683b540d74 · outbound

This paper cites Baernstein, A unified approach to symmetrization, Partial Differential equations of elliptic type, eds, Symposia matematica 35, Cambridge University Press 1995, 47-91.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Baernstein, A unified approach to symmetrization, Partial Differential equations of elliptic type, eds, Symposia matematica 35, Cambridge University Press 1995, 47-91

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.079870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.596277Z digest=sha256:6f1563071b07a7ccf199cfefefaac778029f396df48fdc94b7f91b2d87fe6551

Observation 5e52e36f-399e-4bb6-923a-c8b506190843 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:28.068864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation f431a184-2182-407a-b48b-05cb6e76cda4 · outbound

This paper cites A sharp threshold for Trudinger-Moser type inequalities with logarithmic kernels in dimension N.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials A sharp threshold for Trudinger-Moser type inequalities with logarithmic kernels in dimension N

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:59:27.747782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.603797Z digest=sha256:818b1ab4663fac014aba618a8fedbd91084e606146d7dc00ffc27ae7975a0bfa

Observation 418b1a71-9014-4d7f-94e7-f968bcf557eb · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:28.058330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.608151Z digest=sha256:78d95b719f4ec664ac859dda6ac5af835cafafa50ae6b597877249f70a55178f

Observation 836f9fd8-3142-41a6-9803-53c4a44d6ff4 · outbound

This paper cites Calanchi and B.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Calanchi and B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.048138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.611884Z digest=sha256:839cd23f3715beeac2e010760fa0e4643643b8a3421d953d1caa4c71c2c13853

Observation fcc9628a-96d5-4d1c-985a-d88efd808085 · outbound

This paper cites Calanchi and B.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Calanchi and B

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.038062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.615657Z digest=sha256:d876f8e89782f673e33495f80fc15cda59c849d344b2eb2fe1643366cbb1e344

Observation f21dc359-2a49-42bb-83f7-dac702539756 · outbound

This paper cites Caffarelli and L.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Caffarelli and L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.027992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.619303Z digest=sha256:d2150871aa71691106ef8732cd4a486f3282e031abfc89e4eb03c3956bac652a

Observation 4dcd2b1a-d42f-4713-8baf-5a88a9afd08f · outbound

This paper cites Cingolani and T.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Cingolani and T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.017780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.622766Z digest=sha256:3b598301d8c6feda01c086e68462ee44a3aa979e6763f5144ef92f4e9a05aabc

Observation 930694c0-db15-450c-9899-d5cc2201b084 · outbound

This paper cites Cingolani, T.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Cingolani, T

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:28.007611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.626253Z digest=sha256:5e98c067142b16fb31c7c5f3303347f0a18f8489be4ec1698d1ebfa90c692fa9

Observation 38a2ce31-6172-446e-b4d4-a7434185edc3 · outbound

This paper cites Caglioti, P.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Caglioti, P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.997167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.629704Z digest=sha256:67be86061380f30be5ad79bb896f4141b64c65cd6fda5414b8dbb61077653b3b

Observation 92dd663a-b71c-429a-884c-002585bb98b4 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.986068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.632923Z digest=sha256:5dfbbb92895425ee8c2a38004b5cf30e350c29af1108683c35ca5e9935de06c4

Observation 9cd86d84-2608-49df-8ca8-da0dd8c96da0 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.976301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.636575Z digest=sha256:72418c50ff1ef392b3374e81385b35d0f57156701d7f27ef3607d781ca327211

Observation 88c90cbf-b1c6-4666-a903-a32bb9e0fbfe · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.966840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.639855Z digest=sha256:4ab489edb049cf42757d83e1cc785741a2abdb655026fc2d49e13ba86fe17f97

Observation 5d59e2c4-943a-4123-b389-c73d9db8e536 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.957753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.644036Z digest=sha256:5d83de0011382ebc2a14cc9ec0b46aa5f565a8dfd8591ab20298966213118f9c

Observation 35f519bc-f7ca-4e8e-a1d4-af6939eb7250 · outbound

This paper cites Dolbeault and B.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Dolbeault and B

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.948274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.647452Z digest=sha256:cd8ad21b0adc8e848ee1ceaf137afc1ff549a6239d8cc750bfc640bf14a31446

Observation f6cbb4de-808c-44d4-b59a-f00073bb9ea3 · outbound

This paper cites Di Nezza, G.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Di Nezza, G

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.937736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.650636Z digest=sha256:502494f811e58adea1ea177bcb360123b2744771caf3adb1ac2bcaf90f93b8a3

Observation d8a62a2c-7d69-4f41-87de-d08124f5c642 · outbound

This paper cites Felmer, A.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Felmer, A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.927568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.654016Z digest=sha256:d208dc725f73174e5976299986326f43ff739b42b0a4d6779729cd93fa7cb41a

Observation 411eb984-4e65-4289-9055-737bf275f271 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.917181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.657435Z digest=sha256:2a4ee135bb665aa1486f69c2531e4093cb1fe8450e9f166b7d73d83ffb5dcf94

Observation 045f7d3a-2c3b-460f-8535-6010e7146ae3 · outbound

This paper cites Hyder, Moser functions and fractional Moser-Trudinger type inequalities, Nonlinear Anal., 146 (2016) 185-210.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Hyder, Moser functions and fractional Moser-Trudinger type inequalities, Nonlinear Anal., 146 (2016) 185-210

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.907029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.660925Z digest=sha256:4dd40d2830c1a3bb5e63dd9c3298a93303e32795f09ab5841c572ca095fcd1c0

Observation 2b16f320-8e29-410e-9fe6-03830d61edbf · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.896368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.664700Z digest=sha256:171439cfdc057ff13090c91b5c8fc158599cc21250edbf205cf1b028fe079589

Observation b40d5d50-3acf-4aae-bf96-76d40e8232f6 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.886371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.668265Z digest=sha256:9415b4bcc36441b4d50eb73cf1b8ecb5a13ed4b5b8f0651f226ca42e41951b98

Observation 46d2e6c2-0dfb-4c25-a6aa-14b1c9090c77 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.876549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.671480Z digest=sha256:646732d81cfa753c30a18998edee61a1f0806039ebdaca4a1fb89555b7b0c21d

Observation b940f773-b888-4383-b62b-02528cd5e329 · outbound

This paper cites Moser, A sharp form of an inequality by N.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Moser, A sharp form of an inequality by N

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.867090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.674907Z digest=sha256:87a762de4e0698f9356f41edd8fa0770ad5da241dad7bb9defd60a4c14a32ee8

Observation f6484990-c13f-4b92-a679-d143882872d6 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.856438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.679050Z digest=sha256:0358e521f7b9c98687a30c109267aeab4e5c76e0bcb35615e6492423a8fd95cf

Observation c50af1d4-1a55-40ae-ab95-8c386d1085e9 · outbound

This paper cites Polya and G.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Polya and G

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.845659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.682635Z digest=sha256:78dcd4c489ba2b2b6cb1cc44e33b8b1ca519de41d5fa4efdeb5d945583eeb9bb

Observation 3137a801-f341-4cce-a2d5-14a50fe268ef · outbound

This paper cites Polya and G.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Polya and G

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.834866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.686274Z digest=sha256:587f6f55d41d2977fd7e307906ae2bf80bcc996b1be51ccd613e99e70d22935b

Observation 00729228-e89a-45f4-9e77-8fdeb1c4a180 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.824540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.689728Z digest=sha256:e9ed62707cf6ba3aa05943598296a2101b9c32d31bafc336d467a0ca0c6e9c9a

Observation 4e752caa-1344-47fa-8dad-a31713ff8d52 · outbound

This paper cites Roy, Extremal function for Moser-Trudinger type inequality with logarithmic weight, Nonlinear Anal., 135 (2016), 194-204.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Roy, Extremal function for Moser-Trudinger type inequality with logarithmic weight, Nonlinear Anal., 135 (2016), 194-204

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.814581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.693412Z digest=sha256:542a7a3a91e52d283a2fc2f61a98eb22ca20b0f97d69e319e18fd71140c71479

Observation c5fe1237-da3f-4589-9074-8d3f5035f2e1 · outbound

This paper cites Roy, On attainability of Moser-Trudinger inequality with logarithmic weights in higher dimensions, Discrete Contin.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Roy, On attainability of Moser-Trudinger inequality with logarithmic weights in higher dimensions, Discrete Contin

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.803622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.697968Z digest=sha256:fd5ff8946c984ed765f63ec25cd01f83dc4dc925c26397ef0a85ff9e3bc21791

Observation f394a5d3-edac-489f-8359-e7a0f52cd987 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.792311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.701484Z digest=sha256:32a68de71e4ee4e458dce089b5f03a10ecfb367500fcf375de76721075441503

Observation 21ea71af-eb67-449c-8538-435a55988d55 · outbound

This paper cites Wolansky, On steady distributions of self-attracting clusters under friction and fluctuations, Arch.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Wolansky, On steady distributions of self-attracting clusters under friction and fluctuations, Arch

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:59:27.781382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.704960Z digest=sha256:9f920c289f1567115ea5d75994c4643cd9f061c2aa68d1b4a124e2a57c649a24

Observation 17a8624d-5590-4cf9-99c5-b76b7f9ea4ed · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.770129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.708358Z digest=sha256:bff82c6796ca80043f6b480689b9f62fd9028ceca2d0404166a6d8238b1293e9

Observation 19ae0880-ee45-4cff-ad07-fd860208b767 · outbound

This paper cites an unresolved cited work.

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:59:27.759468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:59:27.711726Z digest=sha256:c8bb153a60bd23d714704471a346a574001facbd2bfaf85cb9c7583e0a9d4efc

Pith citing papers

No inbound Pith citation observations are available.