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Paper Citation Record · LEDGER

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement

As of 14 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2412.09882.

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

pith.paper-citation-record.v1
2412.09882 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:51:23.436156Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:58:06.991754Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T22:40:23.567437Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f69c78ae-87a4-4bf2-913e-6c9f502a69a1 · outbound

This paper cites Anderson, Kevin.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Anderson, Kevin

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.783939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.354699Z digest=sha256:22689ac5261fab6a41506ab8ce7ff476599fc34714ff73bb6f3b7860f5e4e475

Observation efc78bef-25cd-45b3-8832-3e6b988daebd · outbound

This paper cites ´ etude d’une dimension m´ etrique li´ ee ` a la possibilit´ e de plongements dans Rn.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement ´ etude d’une dimension m´ etrique li´ ee ` a la possibilit´ e de plongements dans Rn

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.766162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.360348Z digest=sha256:238a974446f25536ece3e9c5e7c55c54bca125c9d555feea7167d94b1969c40b

Observation eaadfe0e-3b77-428e-bc2c-6fd7db15a27c · outbound

This paper cites Estimations de certaines fonctions maxi males.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Estimations de certaines fonctions maxi males

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.750531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.366546Z digest=sha256:0a2e9cf6eb1ce29206b5ece185143460553d759cd50783fed49bdaf5c35a4362

Observation bfb256cc-4c6c-46b5-8dac-daead9fc33bf · outbound

This paper cites Averages in the plane over convex curves a nd maximal operators.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Averages in the plane over convex curves a nd maximal operators

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.735504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.371526Z digest=sha256:99433f29817a5786db073bd593e0513f9e4a0992466998e72db6414f8333aa2f

Observation 20b033fe-98f2-484c-aa9d-b7d86024298d · outbound

This paper cites Classes of singular integral operators along variable lines.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Classes of singular integral operators along variable lines

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.715752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.376097Z digest=sha256:559cc2eeb856390a5c67e02c23ee19a8747ec1b5432683f9b59050b777b8b6b5

Observation 61f34a8c-f0d6-4a68-a0bf-5fa746ad80b7 · outbound

This paper cites Spherica l maximal operators with fractal sets of dilation on radial functions.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Spherica l maximal operators with fractal sets of dilation on radial functions

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.695613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.381410Z digest=sha256:66063d3c53683581ca8d1861abca099cec02d488378e297f0342cc2f94d0eded

Observation cbdec1c0-e47b-4da2-bc5e-d1d674ce09ff · outbound

This paper cites Fraser, Kathryn E.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Fraser, Kathryn E

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.676973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.386447Z digest=sha256:6bf9140a2bb266faf538f04999aaae4822db6f10ecc690efc513c38b7464fbdd

Observation 92aa9c42-cd3a-47ea-8687-a263b25f8ed2 · outbound

This paper cites Estimates for translation invariant o perators in Lp spaces.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Estimates for translation invariant o perators in Lp spaces

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.658852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.390965Z digest=sha256:ca4162d94574ac4de8617d87818bd297ed02abd8b7f6cc68795fd7096fc01965

Observation d40eaeb9-6766-478b-924d-b7e9df23c1e4 · outbound

This paper cites A note on the spherical maximal operator f or radial functions.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement A note on the spherical maximal operator f or radial functions

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.638882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.395467Z digest=sha256:4ed430b09c0d8c57f13bc47e36ef10c33b52f5c6c789191c6e742b80bf827999

Observation bf8b7265-a4fc-4c72-a1a1-c7feda53691e · outbound

This paper cites Endpoint estimates for the circular maxi mal function.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Endpoint estimates for the circular maxi mal function

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.622216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.400557Z digest=sha256:77fdc1a300be81dc2dee0890aa33780871d516fbce1e6f2eac6bf3247259c667

Observation 59d5151b-148f-44df-91c4-c14285638863 · outbound

This paper cites an unresolved cited work.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:51:23.603804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.405088Z digest=sha256:b7deec98eb8f8ff33b0992ad73dbf4b6e5ef68f83a1a046f973bc29e7aebe6e7

Observation 3c3aee7d-ee41-4e70-959f-2924cd345b84 · outbound

This paper cites Spherical maximal funct ions and fractal dimensions of dilation sets.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Spherical maximal funct ions and fractal dimensions of dilation sets

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.587958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.409820Z digest=sha256:d4a5e348da35a9875f35a197184f7938411bf1f70c0d6ed920dbfe1d2630a815

Observation b6c398cb-4a17-4b04-934e-a4a8f5673a49 · outbound

This paper cites A generalization of Bourgain’s circul ar maximal theorem.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement A generalization of Bourgain’s circul ar maximal theorem

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.571547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.414132Z digest=sha256:2d33f95615073937ca8e5b9647f1ac3e5028b94471f80bae810ca291d7551d47

Observation d0930f2d-d9ec-4d28-be93-51e11e094bbe · outbound

This paper cites an unresolved cited work.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:51:23.554123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.418498Z digest=sha256:b16b1890ce70971fef49901b30f05cc1224fc4cb2befaf87f9441e482c7bbea6

Observation 3e15f710-90d9-4e8a-8fa1-e43d5eae1ce9 · outbound

This paper cites Endpoin t mapping properties of spherical maximal operators.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Endpoin t mapping properties of spherical maximal operators

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.537702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.422964Z digest=sha256:a946592a0d0cd8939c69d9201b06d8f20c012dcfc746f7fc4850476527a6cfc2

Observation cb7ef997-42f4-4bdc-85f7-199a114b8f81 · outbound

This paper cites Poi ntwise convergence of spherical means.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Poi ntwise convergence of spherical means

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.520014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.427552Z digest=sha256:0206f96ea2607195f54caafbf63ebada2cd67e0dff66f2a87df0115b9f08814a

Observation 1b2e5e89-7ef6-4711-8aff-fdd0ba01ea22 · outbound

This paper cites Sph erical maximal operators on radial functions.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Sph erical maximal operators on radial functions

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:51:23.502790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.431831Z digest=sha256:25183b7df6e1ab2171ec4e54edb42097b5452a98ae6cf0247fc95af437c73787

Observation d9f23552-250c-4e3a-b343-50c1d6011e84 · outbound

This paper cites an unresolved cited work.

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:51:23.475086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T16:51:23.436156Z digest=sha256:5eb97e96640ae7087878329a4dc00e8c695123ec47654cee09690ca65bcd89d5

Pith citing papers

Observation dce3e4dd-7fc5-42a8-b706-ec75422a5cef · inbound

Endpoint estimates for the fractal circular maximal function and related local smoothing cites this paper.

Endpoint estimates for the fractal circular maximal function and related local smoothing $L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T22:58:06.991754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:58:06.991754Z digest=sha256:446786e38eae77010b30676cdd59f6f7258a66ae0b3b38438e1b1a08ee8da546

Observation bb35b124-5773-494f-ac77-1a506e5eb982 · inbound

Problems on spherical maximal functions cites this paper.

Problems on spherical maximal functions $L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement

Reference 114

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:40:23.569258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-17T22:38:23.290037Z digest=sha256:f279acee9ec663a36fc63ba1b97d09c10372a6234050def7632c35c28b65544f