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Paper Citation Record · LEDGER

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient

As of 20 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2412.06346.

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

pith.paper-citation-record.v1
2412.06346 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:50:54.291468Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T22:30:48.963474Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T23:19:03.786382Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3835d1ed-00ea-44e5-a72f-0df5da754a72 · outbound

This paper cites Pseudodifferential and singular integral operators.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Pseudodifferential and singular integral operators

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.548742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.222220Z digest=sha256:8ff87de3dccdb96dd4b16a28358e4c35f116b9549f4da0378e64029004175839

Observation 52fff6bf-e45a-4d96-8e46-8b655e66cf02 · outbound

This paper cites Comi, and Giorgio Stefani.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Comi, and Giorgio Stefani

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.536438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.226821Z digest=sha256:3ade0f2bb4c756bf4d62b9d22dc35ef6f934788c82754c1053d4b5d127be2ecc

Observation a6326b9e-745d-4bee-992b-797efeeebf18 · outbound

This paper cites Bellido, Javier Cueto, and Carlos Mora-Corral.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Bellido, Javier Cueto, and Carlos Mora-Corral

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.524903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.230956Z digest=sha256:cca50f88101c99443eb09fb40cb3e8af865ed99319d142ee7af3bd39b9b4465b

Observation d38fb25a-a49e-4993-8f26-576da251ac59 · outbound

This paper cites Bellido, Javier Cueto, and Carlos Mora-Corral.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Bellido, Javier Cueto, and Carlos Mora-Corral

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.512430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.235105Z digest=sha256:1e9e0f4f9403e2e75c405b31e55aaba933cf295f3c6dd6beb6cc2ed9763407c6

Observation 9bb6204e-dcb3-424a-9706-370597da3a70 · outbound

This paper cites Unilateral Problems for Quasilinear Operators with Fractional Riesz Gradients.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Unilateral Problems for Quasilinear Operators with Fractional Riesz Gradients

Reference 5

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T19:50:54.327738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.239495Z digest=sha256:c7de0e4fb163fdc347368d9d6feb227e2f2d58f6a8d5a3a3fbb26f4068267db0

Observation 3485f85b-81d5-4b5e-9b62-4266f05d90e7 · outbound

This paper cites Comi and Giorgio Stefani.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Comi and Giorgio Stefani

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.501730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.244913Z digest=sha256:521f13c306af096638859442dca92823906333c446c65e8b3c0f7cfc9f160119

Observation b2d8f9cf-c3dd-45c0-ab87-b1b4ffeeac68 · outbound

This paper cites Comi and Giorgio Stefani.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Comi and Giorgio Stefani

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.491379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.249661Z digest=sha256:57e9ba385427f576b4166cadb6e8b13bd8068c8bf5057f34ec812c9f5b93892e

Observation 949c0b68-3c9f-465a-80b1-b3485e3207f2 · outbound

This paper cites Lebesgue and S obolev spaces with variable exponents , volume 2017 of Lecture Notes in Mathematics.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Lebesgue and S obolev spaces with variable exponents , volume 2017 of Lecture Notes in Mathematics

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.480084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.253215Z digest=sha256:45ad23b4e344a270e4442b0ecea9347d655c9ca9ebcacd1d1bb8e4c4e0c33108

Observation b7f714d8-4e9e-4028-91cc-9ed139cf57eb · outbound

This paper cites Bonder and Ariel M.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Bonder and Ariel M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.467970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.256671Z digest=sha256:56d1c2c3f6ba26e1286b176127acc90dc203a01292d0d5f5f097ae6a1310c636

Observation 5a4c68f4-15b7-4ecb-8c31-04e2738fcf78 · outbound

This paper cites Classical F ourier analysis , volume 249 of Graduate Texts in Mathematics.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Classical F ourier analysis , volume 249 of Graduate Texts in Mathematics

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T19:50:54.260669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T19:50:54.260669Z digest=sha256:80df4511c2be59aa5a8ddce5da73dcdc46f73352c4f709bc442e1b171febedd7

Observation 9f2ea598-d260-4c78-b95a-89a964a7b197 · outbound

This paper cites Combinatorics of partial derivatives.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Combinatorics of partial derivatives

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.444298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.264030Z digest=sha256:458faa63e3fea17a20ae84312581a2ad81cdb15338b7ee22a09619054c8041d0

Observation 1c860d8c-fa39-4fee-83d0-250550ee9df3 · outbound

This paper cites Orlicz spaces and generalized O rlicz spaces , volume 2236 of Lecture Notes in Mathematics.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Orlicz spaces and generalized O rlicz spaces , volume 2236 of Lecture Notes in Mathematics

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.432772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.267576Z digest=sha256:78e91e51a0b86adc0d4e6e7b55e7a78183777e0edcac4861e50dc93c93318b90

Observation bba21ce6-7fe5-48b5-8056-c7045a0b306c · outbound

This paper cites A revised condition for harmonic analysis in generalized orlicz spaces on unbounded domains.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient A revised condition for harmonic analysis in generalized orlicz spaces on unbounded domains

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.420949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.271458Z digest=sha256:e24de2547cd6023120a45f76642808391a7abd4866ef8c6fe0040e1486409813

Observation b0ed8187-945d-4c72-905e-113aeead0c35 · outbound

This paper cites Quasiconvexity in the fractional calculus of variations: characterization of lower semicontinuity and relaxation.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Quasiconvexity in the fractional calculus of variations: characterization of lower semicontinuity and relaxation

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.409132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.275088Z digest=sha256:e5281f1210796e34064c7d9bac64071805cb6dda28701d7a1748e76af3483ba3

Observation 909b5b99-a161-4ff6-9cbb-cb1c81e84397 · outbound

This paper cites an unresolved cited work.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:50:54.396596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.278282Z digest=sha256:7f752b37d4e84df598574d44015637f8cd81ecfa1f28ae05885e2ad332d76baf

Observation 864d5622-c003-4983-b836-c17aa7ef809e · outbound

This paper cites an unresolved cited work.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:50:54.382619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.281434Z digest=sha256:ca213222ee2f1d0a45d62c146a7f38c69f6a13f79bb54339c51f1bf1723e0ffc

Observation 383ffbc8-2e08-41a1-8604-4140e3ac6cd6 · outbound

This paper cites an unresolved cited work.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:50:54.367128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.284679Z digest=sha256:2933ff90934d7f0a56bef654c4b1c8b5a2f50fffc7ed1d96d7507b5414b4506b

Observation d0f60465-bac3-46ae-9108-e372ae25cdb0 · outbound

This paper cites an unresolved cited work.

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:50:54.353355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.287997Z digest=sha256:be45e0d9710331bd4ab2ce223d801eb65db594f59e3d3431a470228abd8d7f87

Observation ca2938a4-589d-454a-b15a-35a8ce6f2692 · outbound

This paper cites Fractional vector analysis based on invariance requirements (critique of coordinate approaches).

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient Fractional vector analysis based on invariance requirements (critique of coordinate approaches)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:50:54.340660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T19:50:54.291468Z digest=sha256:f80010e147ba5eba2f74bb1444aa88eb214f77f7fbe501dacfd18f93693b5667

Pith citing papers

Observation a1b50bab-fc2a-4452-8a8d-36d0c94b9871 · inbound

Generalized Sobolev-Orlicz spaces based on the Riesz fractional gradient as interpolation and potential spaces cites this paper.

Generalized Sobolev-Orlicz spaces based on the Riesz fractional gradient as interpolation and potential spaces On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-03T23:19:03.789478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-26T22:30:48.963474Z digest=sha256:2454b94429540d96fab80797b8ef9110e236e2ba457b76819bf9799d0eb38cbc