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Paper Citation Record · LEDGER

Extension operators on Sobolev spaces with decreasing integrability

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.09322.

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

pith.paper-citation-record.v1
1908.09322 v4

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:27:18.024273Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved15
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 387df630-719f-486c-adf3-c6615dfe8a99 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.354600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 41889c2c-70fa-4bd2-bad0-ae42e129ccb7 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 2

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9814087b-91c8-44ba-851b-ea7d7d898757 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 3

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation da3510a6-9e75-464e-bae9-f0751fa2e14c · outbound

This paper cites Fefferman, A.

Extension operators on Sobolev spaces with decreasing integrability Fefferman, A

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 512cdabf-d788-4e44-a186-8c617e66613f · outbound

This paper cites Gol’dshtein, V.

Extension operators on Sobolev spaces with decreasing integrability Gol’dshtein, V

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 570036a1-fdbf-4167-9a31-27da86c33f08 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.303281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation bffcabe5-6de2-4ff7-8a26-b5a8253ea25e · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 7

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f1e25086-3798-4aeb-a041-6570a544edf5 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.281632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:27:17.948844Z digest=sha256:c000f0e4d1d6ddc21c750eaf6d1666c9a34a708dfc80a1f767c11093ab595dd5

Observation 0e382610-f59e-4bed-a1ab-b4fd9af4b441 · outbound

This paper cites Hajlasz, P.

Extension operators on Sobolev spaces with decreasing integrability Hajlasz, P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.271846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 01f38f02-15be-4eba-9fb6-0e275b5178e8 · outbound

This paper cites Hajlasz, P.

Extension operators on Sobolev spaces with decreasing integrability Hajlasz, P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.262310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8095fcaa-d32a-4b38-ae39-bb8c0e1c6a2b · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 11

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation bdc26653-6e4d-4134-b2d0-73102d7dfed8 · outbound

This paper cites Koskela, Extensions and imbeddings, J.

Extension operators on Sobolev spaces with decreasing integrability Koskela, Extensions and imbeddings, J

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3abba8ac-6aab-4cae-afec-4f36c79defec · outbound

This paper cites Koskela, D.

Extension operators on Sobolev spaces with decreasing integrability Koskela, D

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3646a772-d08c-4030-8190-58fc1e4c2ea1 · outbound

This paper cites Sobolev extension via reflections.

Extension operators on Sobolev spaces with decreasing integrability Sobolev extension via reflections

Reference 14

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a3d39ee0-1601-4d89-b43c-05f97ad175b5 · outbound

This paper cites Maz’ya, Sobolev spaces: with applications to ellipt ic partial differential equations, Springer, Berlin/Heidelberg, 2010.

Extension operators on Sobolev spaces with decreasing integrability Maz’ya, Sobolev spaces: with applications to ellipt ic partial differential equations, Springer, Berlin/Heidelberg, 2010

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.220113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 1f8485d0-def1-4db2-9096-09001b6fb8e3 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.209550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f69a946e-815a-4d9d-9fd5-2cee7123a825 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.200258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:27:17.982804Z digest=sha256:c39663b516db38b807d9b74d294c30cf09f5dfbfdcf4047a51300a06e4e8e539

Observation 849d5efb-309a-4ff7-ac1f-003752058e41 · outbound

This paper cites Maz’ya, S.

Extension operators on Sobolev spaces with decreasing integrability Maz’ya, S

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.191468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 35e265f9-69bf-461b-8a6d-657c1bb8b066 · outbound

This paper cites Shvartsman, Whitney-type extension theorems for je ts generated by Sobolev func- tions, Adv.

Extension operators on Sobolev spaces with decreasing integrability Shvartsman, Whitney-type extension theorems for je ts generated by Sobolev func- tions, Adv

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.181006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 7661b204-2a7e-4caf-b258-a915b0759483 · outbound

This paper cites Shvartsman, N.

Extension operators on Sobolev spaces with decreasing integrability Shvartsman, N

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.169588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f089c91b-1cb8-4417-b6bf-3cefa5f5d49d · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.157941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 0d04b44d-c915-4a96-aea8-cadc00ac5d3e · outbound

This paper cites Ukhlov, On mappings, which induce embeddings of Sobo lev spaces, Siberian Math.

Extension operators on Sobolev spaces with decreasing integrability Ukhlov, On mappings, which induce embeddings of Sobo lev spaces, Siberian Math

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:27:18.146507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5cf0e2fc-5b0f-421d-a05b-287d76c2c11d · outbound

This paper cites Ukhlov, Lower estimates for the norm of the extension operator of the weak differentiable functions on domains of Carnot groups.

Extension operators on Sobolev spaces with decreasing integrability Ukhlov, Lower estimates for the norm of the extension operator of the weak differentiable functions on domains of Carnot groups

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e8cdb314-5736-45ec-a84e-2cbeae8fc866 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.120745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 58815a23-48ef-47da-9b03-e5195c633304 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 25

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 59336df5-7636-4ff7-aa83-c9fa9f3f7df3 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.099138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 55426fae-c52b-4a68-a0ec-bfc103a14d6b · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.086943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a12f598e-acf1-4705-8e12-5e8857afb0d5 · outbound

This paper cites an unresolved cited work.

Extension operators on Sobolev spaces with decreasing integrability Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:27:18.075633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

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