Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:31:36.433353Z
Paper Citation Record · LEDGER
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels
As of 8 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2506.08115.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-13T17:09:35.243637Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-13T17:13:01.351254Z
Reference resolution
44 of 44 outbound references displayed
- verified exact1
- verified fuzzy13
- unresolved30
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c826d9fb-7c98-474a-9b61-3c71d24157c4 · outbound
This paper cites Bahouri, J.-Y.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Bahouri, J.-Y
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:37.126032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 92ab360c-119c-462e-8c21-269419e14462 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:37.110202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ae10e45f-c443-4c35-998f-d8ea425a0316 · outbound
This paper cites Bruneau, J.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Bruneau, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:37.095430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 23a4607a-0e41-47f7-ad6d-2e35e7c8c2d0 · outbound
This paper cites Bogdan, T.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Bogdan, T
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:37.078973Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 446d4200-5a2a-4b2f-85ba-2e7242d4e663 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:37.061424Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6a3e6002-54e1-4c94-a23e-0c8c10502b25 · outbound
This paper cites Hardy perturbations of subordinated Bessel heat kernels.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Hardy perturbations of subordinated Bessel heat kernels
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:31:36.259095Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9817b3b0-f9fd-4067-955c-bc88abac7212 · outbound
This paper cites Equivalence of Sobolev norms in Lebesgue spaces for Hardy operators in a half-space.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Equivalence of Sobolev norms in Lebesgue spaces for Hardy operators in a half-space
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:31:36.479189Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation df66fd1f-ec95-48d0-b93b-6e19d9b97d28 · outbound
This paper cites Bogdan and K.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Bogdan and K
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:37.044733Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 23cc1109-bcb5-4434-8380-b69c95fd778d · outbound
This paper cites Bogdan and K.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Bogdan and K
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:37.029411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation de38c68b-bbe9-407f-aa01-85b58b7181f7 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:37.012110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e99690f0-9fa1-4fd5-a416-21d0eaacbcd7 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.996264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 370855e4-5444-4afe-9b53-2072417082d6 · outbound
This paper cites Derezi\' n ski and V.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Derezi\' n ski and V
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:36.980691Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1796aed2-6fd9-4e6d-863b-3938683936e7 · outbound
This paper cites https://dlmf.nist.gov/, Release 1.1.9 of 2023-03-15, 2023.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels https://dlmf.nist.gov/, Release 1.1.9 of 2023-03-15, 2023
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:31:36.293301Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f1e30ee-051a-4404-bd59-3642d388c393 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.955453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 59977c7d-a354-4e74-a9b2-c20511dd700c · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.940417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9ef4ef71-50fa-4760-900f-ffd6e82c1eb5 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.924761Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation af711963-0667-41a9-826c-c446587fe18f · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.908710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8d370e36-0b41-4b03-83c9-4059295269ee · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.891063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4f994b56-f80f-48a2-9f61-f03c494d12cd · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.875399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b73e0ba0-dbe7-4370-aa5a-e458910c1d2c · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.858027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 40275fc5-13b3-434c-94c5-00dff2aabcc7 · outbound
This paper cites Fukushima, Y.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Fukushima, Y
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:36.841829Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6ad169aa-4e54-4a82-8c54-3279149271ca · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.825091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 360658c3-209c-407f-9377-06641922afa5 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:31:36.337523Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe723382-2f11-44d0-bdf5-586ab735f86f · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:31:36.342031Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b4718fc-9862-4254-9181-8ea500258e1e · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.789260Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b18927ef-bbae-45fe-b74d-6eb35b054c2b · outbound
This paper cites Jakubowski and J.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Jakubowski and J
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:36.774174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 12d57304-4c43-4104-aa60-cb47e43a1cee · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.759126Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 14029ba8-2dad-4d2f-89d2-28af3f8eafd0 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.744038Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 77f49f53-0577-4f05-9e18-6434ea343847 · outbound
This paper cites Killip, C.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Killip, C
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:31:36.364730Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3bf99173-cace-4b6d-9929-b17c0ae95bba · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.719742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7a43a9c4-ede9-4e25-924a-5f6085815d68 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.703803Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4dffcf00-03d5-4032-8915-a5643079f8b2 · outbound
This paper cites Le Yaouanc, L.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Le Yaouanc, L
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:31:36.377838Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc64474d-c25e-492e-b955-dbee54a3b816 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.676436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0655bb3f-d9b5-4156-bc03-870a14c104c1 · outbound
This paper cites o dinger-type Operators . Habilitation thesis, Technische Universit \.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels o dinger-type Operators . Habilitation thesis, Technische Universit \
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:36.659774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 79b763cd-7c78-4288-9825-5c7ee211ae88 · outbound
This paper cites Metafune, L.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Metafune, L
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:36.644377Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8f2f8a00-609b-4b80-8206-5af9d7bbd43a · outbound
This paper cites Merz and H.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Merz and H
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:36.628877Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2f972a6b-8c9c-45c9-b6c7-b784a5a21c0c · outbound
This paper cites Ma ecki, G.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Ma ecki, G
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:36.613861Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 816c834d-1bee-4adc-84f0-96bedcdc7986 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:31:36.405184Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a3583ae-7516-48a5-8dc1-f198b85fa005 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.584442Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b702fc18-8d8b-4486-bbbb-868fcea701d1 · outbound
This paper cites Revuz and M.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Revuz and M
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:31:36.570061Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation acc7dd72-2e10-4adc-b3b1-7f11ded37ed3 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.554496Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 29bcdee2-fce3-4d47-81b5-70e1b5465e25 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.539925Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4cb65a96-1c5b-4080-9a2d-c207d30d8d58 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:31:36.524064Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3677d67f-b3cd-4fd2-87d5-56411e662251 · outbound
This paper cites an unresolved cited work.
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Unresolved cited work
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:31:36.433353Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation ac1ae916-62f5-46c0-bd06-fd526769ef69 · inbound
Sharp upper bounds for the density of relativistic atoms: Noninteracting case cites this paper.
Sharp upper bounds for the density of relativistic atoms: Noninteracting case Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T17:13:01.352800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.