Paper Citation Record · LEDGER

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees

As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 2 inbound Pith citation observations for arXiv:2505.10177.

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

pith.paper-citation-record.v1
2505.10177 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:30:25.753642Z

measured 33 of 33 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T10:27:56.237490Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T12:55:44.244430Z

Reference resolution

31 of 31 outbound references displayed

verified exact0
verified fuzzy26
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c440627d-e036-4f90-ac6e-fd867cf33edc · outbound

This paper cites Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.339942Z

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.

Observation 9b4675c1-6f1f-460f-bb8c-c7b1a9c82753 · outbound

This paper cites Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.322880Z

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.

Observation 0fdc99b0-8f10-4aef-aceb-e4f5026f81e6 · outbound

This paper cites Rogers, Nageswari Shanmugalingam, and Alexander Teplyaev.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Rogers, Nageswari Shanmugalingam, and Alexander Teplyaev

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.305240Z

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.

Observation f0de7597-c39c-4ae9-8b66-73bbd51b58f5 · outbound

This paper cites A simple proof of reflexivity and separability of n1,p sobolev spaces, 2023.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees A simple proof of reflexivity and separability of n1,p sobolev spaces, 2023

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.288918Z

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.

Observation 05cf19db-44d9-481c-aa0d-2e52b1f53f4e · outbound

This paper cites Brownian motion on R-trees.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Brownian motion on R-trees

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.272669Z

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.

Observation 1c23adde-75d7-425a-a604-1b51b81f99f0 · outbound

This paper cites Bakry, T.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Bakry, T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.256953Z

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.

Observation 5eae38e9-920d-47fd-abf9-7df0a70d68b9 · outbound

This paper cites an unresolved cited work.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:30:26.240493Z

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.

Observation 6039b760-6f84-41cf-88ae-223e67bd54ff · outbound

This paper cites an unresolved cited work.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:30:26.220514Z

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.

Observation d4b6de19-043e-417e-ab16-f5640c92d7d5 · outbound

This paper cites Sobolev spaces and Poincar´ e inequalities on the Vicsek fractal.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Sobolev spaces and Poincar´ e inequalities on the Vicsek fractal

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.202758Z

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.

Observation efdd6a70-78e0-425b-ab44-4b0cf92451aa · outbound

This paper cites Functional analysis, Sobolev spaces and partial differential equations.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Functional analysis, Sobolev spaces and partial differential equations

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.184962Z

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.

Observation 9617e3dd-eef4-4b8e-80f1-a7ab79a0659c · outbound

This paper cites Besov-lipschitz norm and p-energy measure on scale-irregular vicsek sets, 2024.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Besov-lipschitz norm and p-energy measure on scale-irregular vicsek sets, 2024

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.166236Z

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.

Observation f26c45b6-f7bd-42e1-8852-5203e7e3548e · outbound

This paper cites Introduction to Λ-trees.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Introduction to Λ-trees

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.148428Z

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.

Observation 6b8e4cfa-da93-40f4-b101-c5bc99f3f15a · outbound

This paper cites Off-diagonal heat kernel lower bounds without Poincar´ e.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Off-diagonal heat kernel lower bounds without Poincar´ e

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.130261Z

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.

Observation 2487ec6b-9444-4557-81d8-83017ea36203 · outbound

This paper cites an unresolved cited work.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:30:26.111748Z

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.

Observation a662f875-e0a8-4278-afd7-36089abef351 · outbound

This paper cites Gradient estimate for the heat kernel on some fractal-like cable systems and quasi-Riesz transforms.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Gradient estimate for the heat kernel on some fractal-like cable systems and quasi-Riesz transforms

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.093583Z

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.

Observation a27febf0-855e-4f22-b103-62e73eca452b · outbound

This paper cites an unresolved cited work.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:30:26.069579Z

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.

Observation a3719625-6160-48ad-839b-b2dd7ed0bdfb · outbound

This paper cites H¨ older regularity of harmonic functions on metric measure spaces,.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees H¨ older regularity of harmonic functions on metric measure spaces,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.052405Z

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.

Observation 366dbbc7-f578-4bd6-98d1-0acd227ac6be · outbound

This paper cites Interpolation properties of Besov spaces defined on metric spaces.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Interpolation properties of Besov spaces defined on metric spaces

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.034560Z

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.

Observation 1ba1f561-3bec-4d78-bcd7-0761e4de1e80 · outbound

This paper cites Metric structures for Riemannian and non-Riemannian spaces , volume 152 of Progress in Mathematics.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Metric structures for Riemannian and non-Riemannian spaces , volume 152 of Progress in Mathematics

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:26.013639Z

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.

Observation c91cc215-1980-4107-bfd0-7d7048ddebdd · outbound

This paper cites Sobolev spaces on an arbitrary metric space.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Sobolev spaces on an arbitrary metric space

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.995210Z

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.

Observation 8d043739-1fdd-4000-aa35-c61a51c2b151 · outbound

This paper cites an unresolved cited work.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:30:25.977025Z

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.

Observation 40a5a415-91c3-48b2-9867-5661fbf817f4 · outbound

This paper cites Korevaar-schoen p-energy forms and associated p- energy measures on fractals, 2024.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Korevaar-schoen p-energy forms and associated p- energy measures on fractals, 2024

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.959676Z

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.

Observation f34975b7-670b-47cf-9561-6419b83598b1 · outbound

This paper cites p-energy forms on fractals: recent progress, 2025.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees p-energy forms on fractals: recent progress, 2025

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.943261Z

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.

Observation cf8f7c4c-bf6f-4729-8d87-abbf0ac25e7d · outbound

This paper cites Harmonic calculus on limits of networks and its application to dendrites.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Harmonic calculus on limits of networks and its application to dendrites

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.927214Z

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.

Observation b099ccb1-1649-4724-bbab-b69d668f9cb4 · outbound

This paper cites Korevaar and Richard M.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Korevaar and Richard M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.910144Z

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.

Observation fcdf64b9-547d-4eb0-b590-f0c7c5f9dd25 · outbound

This paper cites Heat kernel estimates and parabolic Harnack inequalities on graphs and resistance forms.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Heat kernel estimates and parabolic Harnack inequalities on graphs and resistance forms

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.892464Z

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.

Observation d3050cf3-9ce1-4c34-bb42-084b0dab7b0a · outbound

This paper cites Miranda, Jr.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Miranda, Jr

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.870558Z

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.

Observation 14464481-e999-4ea6-9ac3-b5fe567e1f1b · outbound

This paper cites Quasisymmetric uniformization and heat kernel estimates.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Quasisymmetric uniformization and heat kernel estimates

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.850360Z

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.

Observation db8e3d7f-4c69-4806-ad82-bfd5403a84c5 · outbound

This paper cites First-order sobolev spaces, self-similar energies and energy measures on the sierpi´ nski carpet, 2025.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees First-order sobolev spaces, self-similar energies and energy measures on the sierpi´ nski carpet, 2025

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.831378Z

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.

Observation 6288c1dd-9d67-43b4-87fd-e590ea9cdba4 · outbound

This paper cites Construction ofp-energy measures associated with strongly localp-energy forms,.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Construction ofp-energy measures associated with strongly localp-energy forms,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.812309Z

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.

Observation 7ba44d5d-8a81-40d0-acf1-d6b178b3d1d9 · outbound

This paper cites Characterizations of sobolev functions via besov-type energy functionals in fractals, 2025.

Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees Characterizations of sobolev functions via besov-type energy functionals in fractals, 2025

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:30:25.795814Z

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.

Pith citing papers

Observation ea5dd04e-a719-4e87-831b-f4b89456d37a · inbound

Sobolev spaces on snowtrees cites this paper.

Sobolev spaces on snowtrees Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-07-01T12:55:44.246086Z

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.

Observation af26aa9b-bf02-4625-ba06-4ebc45a0cb3b · inbound

Sobolev spaces on snowtrees cites this paper.

Sobolev spaces on snowtrees Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-12T10:27:56.237490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.