Paper Citation Record · LEDGER

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces

As of 7 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2506.05037.

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

pith.paper-citation-record.v1
2506.05037 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:42:35.056763Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

31 of 31 outbound references displayed

verified exact1
verified fuzzy24
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5ae100c8-9551-44a6-a681-6d50d29da9ae · outbound

This paper cites Limits at infinity for functions in fractional Sobolev spaces.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Limits at infinity for functions in fractional Sobolev spaces

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:42:35.079838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6bc73920-009a-428c-978f-1fe62a1c088c · outbound

This paper cites European Mathematical Society (EMS), Z¨ urich, 2011.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces European Mathematical Society (EMS), Z¨ urich, 2011

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.289796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c1b3620e-56b6-42cb-99f7-02df32b5c75b · outbound

This paper cites V¨ ah¨ akangas.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces V¨ ah¨ akangas

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.282774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 45a5f0a3-fef2-4ea8-83e2-1f1b1a1bae0d · outbound

This paper cites Hitchhiker’s guide to the fractional Sobolev spaces.Bull.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Hitchhiker’s guide to the fractional Sobolev spaces.Bull

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T10:42:34.983896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 103d3b4b-f3e1-42fa-8998-d7dd0db720b8 · outbound

This paper cites an unresolved cited work.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:42:35.272289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 38a0f0e8-f319-4b9d-a860-d509f70ad01e · outbound

This paper cites On limits at infinity of weighted Sobolev functions.J.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces On limits at infinity of weighted Sobolev functions.J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.265713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation be434287-4e31-4bb6-8781-2aedac6fca13 · outbound

This paper cites Convergence on almost every line for functions with gradient inL p(Rn).Ann.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Convergence on almost every line for functions with gradient inL p(Rn).Ann

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.258805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f858a8c5-7689-41b4-86ac-691bbc1722f4 · outbound

This paper cites A condition for a two-weight norm inequality for singular integral operators.Studia Math., 98(3):175–190, 1991.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces A condition for a two-weight norm inequality for singular integral operators.Studia Math., 98(3):175–190, 1991

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.251423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3dfbc5e8-63bd-4854-aad2-287333c8d56d · outbound

This paper cites Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.243910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f7567df2-eb7f-4873-ba0a-091793dab1af · outbound

This paper cites Sobolev spaces on an arbitrary metric space.Potential Anal., 5(4):403–415, 1996.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Sobolev spaces on an arbitrary metric space.Potential Anal., 5(4):403–415, 1996

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.236608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ad8acac-43b3-4117-b014-7812c60b68fe · outbound

This paper cites Sobolev spaces on metric-measure spaces.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Sobolev spaces on metric-measure spaces

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.229419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 741bb06a-0f0e-4358-b7ed-b92baa04fe20 · outbound

This paper cites Approximation and quasicontinuity of Besov and Triebel–Lizorkin functions.Trans.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Approximation and quasicontinuity of Besov and Triebel–Lizorkin functions.Trans

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.222295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6bac76fb-dedc-4e59-9647-9ea773ff9063 · outbound

This paper cites Universitext.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Universitext

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T10:42:35.007073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4d668aa-3bc8-4b5f-9e12-5c47683d289a · outbound

This paper cites Quasiconformal maps in metric spaces with controlled geometry.Acta Math., 181(1):1–61, 1998.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Quasiconformal maps in metric spaces with controlled geometry.Acta Math., 181(1):1–61, 1998

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.211328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1f84c03a-1dc1-46c8-a913-9b8c2f2c0c79 · outbound

This paper cites Tyson.Sobolev spaces on met- ric measure spaces.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Tyson.Sobolev spaces on met- ric measure spaces

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.203941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e5e6a602-602a-425b-bd57-04abd2c5ba63 · outbound

This paper cites V¨ ah¨ akangas.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces V¨ ah¨ akangas

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.196496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 30dd151e-664a-4560-9b15-8bc9ee66c492 · outbound

This paper cites Jawerth and A.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Jawerth and A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.189300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3928bc50-e28f-474b-baee-1baaf055684e · outbound

This paper cites The Poincar´ e inequality is an open ended condition.Ann.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces The Poincar´ e inequality is an open ended condition.Ann

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.182187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 46642278-ad17-4cd4-881f-274833825213 · outbound

This paper cites A remark on the uniqueness of quasi continuous functions.Ann.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces A remark on the uniqueness of quasi continuous functions.Ann

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.175121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9b246e6e-3732-484c-9957-521e98443a6f · outbound

This paper cites Sobolev spaces with zero boundary values on metric spaces.Potential Anal., 12(3):233–247, 2000.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Sobolev spaces with zero boundary values on metric spaces.Potential Anal., 12(3):233–247, 2000

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.168025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dfb8da11-6233-4c2c-a7fc-b954f17d4079 · outbound

This paper cites American Mathematical Society, Providence, RI, 2021.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces American Mathematical Society, Providence, RI, 2021

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T10:42:35.030644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a8bef0e-5082-417e-a470-fb5dd1d6bac5 · outbound

This paper cites Large-scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces.J.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Large-scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces.J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.155823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f75ebba3-9a5d-4bc3-b2a1-9e0b43bce38a · outbound

This paper cites Existence and uniqueness of limits at infinity for homogeneous Sobolev functions.J.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Existence and uniqueness of limits at infinity for homogeneous Sobolev functions.J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.148832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f17bea48-93fb-4896-8049-4aa06cabd75e · outbound

This paper cites Pointwise characterizations of Besov and Triebel–Lizorkin spaces and quasiconformal mappings.Adv.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Pointwise characterizations of Besov and Triebel–Lizorkin spaces and quasiconformal mappings.Adv

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.141229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4e1b581b-ed84-4a9c-bee0-ee596fd9181a · outbound

This paper cites Existence and uniqueness of limits at infinity for bounded variation functions.J.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Existence and uniqueness of limits at infinity for bounded variation functions.J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.133755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5ef4120d-cd76-417e-907a-22a2d5c86525 · outbound

This paper cites V¨ ah¨ akangas.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces V¨ ah¨ akangas

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.126657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation df957b72-15de-4835-b5c5-ab379683aa3b · outbound

This paper cites American Mathematical Society, Providence, RI, 2023.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces American Mathematical Society, Providence, RI, 2023

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.118373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 76b1a054-669b-4cbf-a2ca-b9ea18b6ba75 · outbound

This paper cites The Besov capacity in metric spaces.Ann.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces The Besov capacity in metric spaces.Ann

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.110901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 96da1616-2139-4f87-b8ba-98c5ae2443a8 · outbound

This paper cites an unresolved cited work.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:42:35.103696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a5672851-e692-48f4-8a74-f8bb2dddc9a6 · outbound

This paper cites III, volume 100 ofMonographs in Mathematics.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces III, volume 100 ofMonographs in Mathematics

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:35.095199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6874c4b7-00a7-49b1-84b8-836a5b0e9e9e · outbound

This paper cites an unresolved cited work.

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:42:35.087932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.