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Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.354699Z digest=sha256:ad4c0f5bb00d18fb155984b256fa641746caf3130cd340ea9e3bd5e9bd0ef544

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.360348Z digest=sha256:99d2c3c0646f2c317d4a8437db73df44d4de4820334e8262300a989183a3ee0c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.366546Z digest=sha256:d494f3feec5f91ebc41980f9b8393a42f27325d85d10227a563ec3a889f687fc

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.371526Z digest=sha256:972ba656476d9e52c08363dd47f8bec03e2e5dd0a5feea3d60a7f439bdce4c6d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.376097Z digest=sha256:2823077844016f58d2cb09f7b8577f3ba99c112ee0fae0808b2c1999b7b743de

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.381410Z digest=sha256:e2d0ecffa3ca413e6fe7d1cce888a0ccba5bf55d71d0097e2c3035d8780568d2

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.386447Z digest=sha256:d7c11cc2ca919c4f053dc54fbce7e87473be0003fb54ff6b1581fa2fe34ad191

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.390965Z digest=sha256:117006c1c56391e4c6b915b33dfa9bd5b5efe670af6ae72b8130061c1ddbd89e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.395467Z digest=sha256:ab0f7497b9faa2808fedca9d42ca85579756d2c05c6b5320b1534c399643c143

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.400557Z digest=sha256:effa018c850a4e631107683b8776b405bbfa9fb73281197e3c1e06755227dd62

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.405088Z digest=sha256:dbefc8ce321fa0d65e1c87e9b90cedfdf96d2fdbf21b6f01be55e9df1336efc0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.409820Z digest=sha256:43050652c613b5ae9cc8910951debbc768ddf68ba59e6998b17403649c09fbc9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.414132Z digest=sha256:29544740c3395ebc8d11f9d2fe6d1b751c8a861e7f736b4083787254168e7f25

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.418498Z digest=sha256:69550aaa934344247c13b351069716a51ff1fc7c2b5ce928a778ebe5b25d9967

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.422964Z digest=sha256:344b82234f8cd053160a29a21c6d15bdedc6907543887d727d0881203f8b0df0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.427552Z digest=sha256:0d0482a0b1d0280a4d7ef094890ed1024c66ea8a9f813bf126eee57056ce5f0e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.431831Z digest=sha256:10a0bead510afde42fb209dbe3dd85ff4c9ada84e6ad2af3f23f4b8840a69116

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T16:51:23.436156Z digest=sha256:20d2bf48b44411a2439eb24e631116e7029a61db55a9851817b383538e25bcbb

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=sha256:2efa99c43c2b0dec11f2b0617c978d80fc8143b16ed21150782b7e8dcc8b61e9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-17T22:38:23.290037Z digest=sha256:9d9ea7af985505a6bc9cd2b04305e629bcb1d9684d28d8a43709a0a4b6e81762