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Paper Citation Record · LEDGER

Spherical maximal operators with fractal sets of dilations on radial functions

As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 5 inbound Pith citation observations for arXiv:2412.09390.

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

pith.paper-citation-record.v1
2412.09390 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:15:38.804857Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T00:24:19.195633Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-30T08:54:29.658525Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved5
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8c782757-3b5f-494e-abce-2048e59e00f8 · outbound

This paper cites Lp → Lq bounds for spherical maximal operators.

Spherical maximal operators with fractal sets of dilations on radial functions Lp → Lq bounds for spherical maximal operators

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:39.142363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.710744Z digest=sha256:5c7e56f3f0ad0ab178396e4dfbb37cfd135f2c8e64db5ae39562d3035f63bc14

Observation 7ed2dd1d-6f80-4a56-bae9-578ab76c89b7 · outbound

This paper cites Attainable forms of interme diate dimensions.

Spherical maximal operators with fractal sets of dilations on radial functions Attainable forms of interme diate dimensions

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:39.127550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 382f4321-60b1-4375-91a8-f51cba70d39f · outbound

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

Spherical maximal operators with fractal sets of dilations on radial functions Averages in the plane over convex curves a nd maximal operators

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:39.112267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 38043c82-8afb-4add-966c-b5228468b91a · outbound

This paper cites an unresolved cited work.

Spherical maximal operators with fractal sets of dilations on radial functions Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:15:39.097911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 2e8cb5e0-aa75-40ca-ae15-b5cc9e03ee3a · outbound

This paper cites Fraser, Kathryn E.

Spherical maximal operators with fractal sets of dilations on radial functions Fraser, Kathryn E

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.730373Z digest=sha256:ad6f757f4667b60768055e7b12d5ec3644697dba39e2684f12b96e0cb81a0db6

Observation 5a1e47c3-4ba7-48a1-be1c-db7c67115bc7 · outbound

This paper cites Fraser and Han Yu.

Spherical maximal operators with fractal sets of dilations on radial functions Fraser and Han Yu

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:39.071808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.735834Z digest=sha256:189bb99cad7ccfd714bf4e8e0ae1b4b7037070fa08f76ddbb36636c72bef2c7f

Observation 3de9e14c-63a4-4ba3-bccb-3f7594b907a7 · outbound

This paper cites Fraser and Han Yu.

Spherical maximal operators with fractal sets of dilations on radial functions Fraser and Han Yu

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:39.059041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.741315Z digest=sha256:220976c2dd747ce3d72adce2d4613b16b135d27b6c86bbeb62709266ba27734f

Observation 3a9e92ed-b94c-409e-a791-cd59e78ee970 · outbound

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

Spherical maximal operators with fractal sets of dilations on radial functions Estimates for translation invariant o perators in Lp spaces

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:39.045059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation b047225b-ba92-47c2-8fba-28709e723ee0 · outbound

This paper cites Leckband.

Spherical maximal operators with fractal sets of dilations on radial functions Leckband

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:39.032868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.751248Z digest=sha256:e1feb43d55c51a0a4125d7f12879f7be4896714324edc819b33e84c07eda028e

Observation 7706635e-fea9-47bb-997a-9f9ea9882beb · outbound

This paper cites Lp − Lq-estimates for singular integral operators arising from hy perbolic equations.

Spherical maximal operators with fractal sets of dilations on radial functions Lp − Lq-estimates for singular integral operators arising from hy perbolic equations

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:39.019256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.755206Z digest=sha256:15094d1fed132cdb72c622caa346221c5f1da7d16b8ef47a9eb9b3896d532de4

Observation 69fab653-cbbe-409e-a3a9-a618d050cf9a · outbound

This paper cites Quasi-assouad dimension of frac tals.

Spherical maximal operators with fractal sets of dilations on radial functions Quasi-assouad dimension of frac tals

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:39.005088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.758872Z digest=sha256:0bbf5426805a69ceb29210ec023469c3c2ce7c7b47d6c6239e80ae3ecf8dd4a6

Observation 282f1cd6-ccbf-4a79-8b90-a3cfce398e0a · outbound

This paper cites an unresolved cited work.

Spherical maximal operators with fractal sets of dilations on radial functions Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:15:38.992309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.762850Z digest=sha256:bb8c52fb69f6631855e00574ca2809e3f6062082b5ff302354e2c9a8a7717f52

Observation 847dbdde-1f0a-43c7-9e30-5689654e4c90 · outbound

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

Spherical maximal operators with fractal sets of dilations on radial functions Spherical maximal funct ions and fractal dimensions of dilation sets

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:38.978745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.766492Z digest=sha256:4cfdbf7acb690efc146415cee84cbe845757d2bd5e255363b8e9dafa27b2913b

Observation 2042e299-be00-489c-8217-cf3983aa08bd · outbound

This paper cites Attainable forms of Assouad spectra.

Spherical maximal operators with fractal sets of dilations on radial functions Attainable forms of Assouad spectra

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:38.965620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.770525Z digest=sha256:e459805d5856f0107204c089bb1104a43353de98299fc522340fa827215eb0e7

Observation ba7a9872-c3d8-4aee-b506-d77a38b272e1 · outbound

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

Spherical maximal operators with fractal sets of dilations on radial functions A generalization of Bourgain’s circul ar maximal theorem

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:38.951898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.774077Z digest=sha256:fc1c44336fb5997e623840f9548ba6eccd6a615c4bb4d535aac12e5df2271193

Observation d1bf0ff5-59da-4d15-8731-77a23d4e8812 · outbound

This paper cites an unresolved cited work.

Spherical maximal operators with fractal sets of dilations on radial functions Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:15:38.938607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.777821Z digest=sha256:85f39fdd0718dc694522cd9ff827cd7a2bad21135c82c93f440dfc69dafe5668

Observation 80ea8aab-c277-44b4-bc2d-c3d3b8a3a902 · outbound

This paper cites Sharp Lorentz space est imates for rough operators.

Spherical maximal operators with fractal sets of dilations on radial functions Sharp Lorentz space est imates for rough operators

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:38.925758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.781673Z digest=sha256:c3712ea290c20d32e4b21b4626e6ae7bba282e5a5320f54d3e9996f41c298011

Observation 8eb0a7ba-e04b-4db8-8d8b-6d57bf541c5f · outbound

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

Spherical maximal operators with fractal sets of dilations on radial functions Endpoin t mapping properties of spherical maximal operators

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:38.910922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.785426Z digest=sha256:4e7dca592b5d5ad2fbdda98880f0181c5a30fd3df8667c65b83f10c3fcc3bef7

Observation 9b06e7c9-ea8f-43de-8bd1-abc5335aa1ce · outbound

This paper cites Poi ntwise convergence of spherical means.

Spherical maximal operators with fractal sets of dilations on radial functions Poi ntwise convergence of spherical means

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:38.896520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.789171Z digest=sha256:c0f56a23da386e0eef1d47f3ac2c8f3358d9a63c624c8016cdc76fc7db5b9586

Observation 8c1e4043-8bb9-462b-98e8-a24f2fde2075 · outbound

This paper cites Sph erical maximal operators on radial functions.

Spherical maximal operators with fractal sets of dilations on radial functions Sph erical maximal operators on radial functions

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:38.881896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 4c403811-1d7c-4bfb-89ea-e3c621226492 · outbound

This paper cites an unresolved cited work.

Spherical maximal operators with fractal sets of dilations on radial functions Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:15:38.867304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.797274Z digest=sha256:0f82783d7ec5a7a47a36fec0c5988c58acdadbaa34924a79d70e91a63061c5f5

Observation 7fe1a10b-8bc4-446e-be6c-d69ac8c5bee2 · outbound

This paper cites an unresolved cited work.

Spherical maximal operators with fractal sets of dilations on radial functions Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-11T17:15:38.853497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 2538e69b-432c-4a0e-acc7-b4658b73675f · outbound

This paper cites Lp improving bounds for spherical maximal operators over rest ricted dilation sets: radial improvements.

Spherical maximal operators with fractal sets of dilations on radial functions Lp improving bounds for spherical maximal operators over rest ricted dilation sets: radial improvements

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:15:38.839592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T17:15:38.804857Z digest=sha256:986b850072cdf0036441cfc14ba26522c7b76fecc25f1271efb1be5a3fdef81e

Pith citing papers

Observation 65de84a4-dc82-4afe-adab-85575803ef4d · inbound

Applications of dimension interpolation to orthogonal projections cites this paper.

Applications of dimension interpolation to orthogonal projections Spherical maximal operators with fractal sets of dilations on radial functions

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-09T00:24:19.195633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T00:24:19.195633Z digest=sha256:f3f8503d204971c85f381a0aeace22b505ebbaf1e211c1a9fd82705fb9fdbd75

Observation b475b785-1403-47e4-ad9b-7d0bc09bc888 · 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 Spherical maximal operators with fractal sets of dilations on radial functions

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T22:58:06.775718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:58:06.775718Z digest=sha256:270ea08cb66d86a1931c2675454480852041887aceced009e852db7ce554171e

Observation 603a3dad-ab0a-452d-a9e1-880a87390879 · inbound

Problems on spherical maximal functions cites this paper.

Problems on spherical maximal functions Spherical maximal operators with fractal sets of dilations on radial functions

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-06-23T04:13:37.988703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-17T22:38:23.290037Z digest=sha256:2be6a126b767ce201cd23c5315c098b20d35d4600ba4f1d5b849706934181ae7

Observation 7bc6b8eb-19ae-4176-bf44-15bda2a01900 · inbound

Power weight inequalities for spherical maximal functions cites this paper.

Power weight inequalities for spherical maximal functions Spherical maximal operators with fractal sets of dilations on radial functions

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T22:27:43.505835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T22:27:43.505835Z digest=sha256:3f50fe06027e5720df57e08355bad37ce4a061ccd98cc83dcd2975259715a493

Observation ed6c768d-6480-40ff-946c-4383d6136395 · inbound

On the Marstrand projection theorem for the Assouad spectrum cites this paper.

On the Marstrand projection theorem for the Assouad spectrum Spherical maximal operators with fractal sets of dilations on radial functions

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-06-30T08:54:29.660332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-06-30T08:52:48.716399Z digest=sha256:0091f84003692b5048e0abe084bfd590a645ebf8f1d4af6b6da7a18f853c4faa