Paper Citation Record · LEDGER

Lacunary $\delta$-Discretised Spherical Maximal Operators

As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2507.09962.

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

pith.paper-citation-record.v1
2507.09962 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:03:38.496084Z

measured 28 of 28 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 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 exact0
verified fuzzy20
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3815fdd0-bcac-4911-9b27-1991b46b39c1 · outbound

This paper cites Bourgain, Averages in the plane over convex curves and maximal operators, J.

Lacunary $\delta$-Discretised Spherical Maximal Operators Bourgain, Averages in the plane over convex curves and maximal operators, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:43.027878Z

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.

Observation 6a842550-13b1-4289-b848-c31813cb463c · outbound

This paper cites an unresolved cited work.

Lacunary $\delta$-Discretised Spherical Maximal Operators Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:03:42.900099Z

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.

Observation b97644b5-5b39-400f-aa79-70f566369a04 · outbound

This paper cites Chang, G.

Lacunary $\delta$-Discretised Spherical Maximal Operators Chang, G

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:42.722970Z

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.

Observation f75001aa-c1c9-4a4e-88eb-4c83c71419d1 · outbound

This paper cites an unresolved cited work.

Lacunary $\delta$-Discretised Spherical Maximal Operators Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:03:42.577559Z

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.

Observation 878d6b2b-6616-4485-adec-3aa0b428f851 · outbound

This paper cites A multi-parameter cinematic curvature.

Lacunary $\delta$-Discretised Spherical Maximal Operators A multi-parameter cinematic curvature

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T18:03:35.098528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42d0c9e9-5a49-4015-88fd-0bfa415f3b2a · outbound

This paper cites Christ,Weak type(1, 1) bounds for rough operators, Ann.

Lacunary $\delta$-Discretised Spherical Maximal Operators Christ,Weak type(1, 1) bounds for rough operators, Ann

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:42.427786Z

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.

Observation a6d69f76-9352-4842-8613-36a9b629091e · outbound

This paper cites an unresolved cited work.

Lacunary $\delta$-Discretised Spherical Maximal Operators Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:03:42.272601Z

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.

Observation a8bfce90-260e-4b45-b65c-0e756a887b8f · outbound

This paper cites Duoandikoetxea and J.

Lacunary $\delta$-Discretised Spherical Maximal Operators Duoandikoetxea and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:42.149315Z

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.

Observation 3a9ed4d2-4afc-462e-8e29-1435d181fd95 · outbound

This paper cites Fefferman and E.M.

Lacunary $\delta$-Discretised Spherical Maximal Operators Fefferman and E.M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:41.984087Z

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.

Observation d9d58312-14b2-4939-a624-5e15b8471091 · outbound

This paper cites Ganguly and S.Thangavelu, On the lacunary spherical maximal function on the Heisen- berg group., J.

Lacunary $\delta$-Discretised Spherical Maximal Operators Ganguly and S.Thangavelu, On the lacunary spherical maximal function on the Heisen- berg group., J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:41.797329Z

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.

Observation 689e51f3-5329-423d-ae1b-be13642bba03 · outbound

This paper cites Govindan Sheri, J.

Lacunary $\delta$-Discretised Spherical Maximal Operators Govindan Sheri, J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:41.606849Z

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.

Observation d30dbc83-f475-4822-bc7b-dc68be3866e2 · outbound

This paper cites Heo,Weak type estimates for some maximal operators on Hardy spaces, Math.

Lacunary $\delta$-Discretised Spherical Maximal Operators Heo,Weak type estimates for some maximal operators on Hardy spaces, Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:41.469815Z

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.

Observation f9dc54e9-e066-4347-84be-a59e2949d1e9 · outbound

This paper cites Hickman and A.

Lacunary $\delta$-Discretised Spherical Maximal Operators Hickman and A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:41.299048Z

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.

Observation 57346936-e1ba-4c51-b46e-ad9522884409 · outbound

This paper cites Improved $L^p$ bounds for the strong spherical maximal operator.

Lacunary $\delta$-Discretised Spherical Maximal Operators Improved $L^p$ bounds for the strong spherical maximal operator

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T18:03:36.516015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36b9b52c-f625-4b52-8fcf-53da037ecc13 · outbound

This paper cites an unresolved cited work.

Lacunary $\delta$-Discretised Spherical Maximal Operators Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:03:41.078602Z

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.

Observation 5e11cefc-4266-4683-9739-47f0425b448f · outbound

This paper cites an unresolved cited work.

Lacunary $\delta$-Discretised Spherical Maximal Operators Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:03:40.852931Z

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.

Observation 11c6c07e-1c19-4baa-83a0-34d9e9299976 · outbound

This paper cites Mattila, Geometry of sets and measures in Euclidean spaces, Cambridge Studies in Advanced Mathematics, 44, Cambridge Univ.

Lacunary $\delta$-Discretised Spherical Maximal Operators Mattila, Geometry of sets and measures in Euclidean spaces, Cambridge Studies in Advanced Mathematics, 44, Cambridge Univ

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:40.666294Z

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.

Observation 9e3b4403-1e0d-4ea5-9938-46a19c38a1e6 · outbound

This paper cites Mattila, Fourier analysis and Hausdorff dimension, Cambridge Studies in Advanced Mathematics, 150, Cambridge Univ.

Lacunary $\delta$-Discretised Spherical Maximal Operators Mattila, Fourier analysis and Hausdorff dimension, Cambridge Studies in Advanced Mathematics, 150, Cambridge Univ

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:40.486368Z

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.

Observation 625b988c-3ca6-4b00-8cd2-bbfdd8dc9f57 · outbound

This paper cites Nevo and S.

Lacunary $\delta$-Discretised Spherical Maximal Operators Nevo and S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:40.321316Z

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.

Observation 08d5c3af-acc8-4bec-a6f1-9f822f636eb2 · outbound

This paper cites Oberlin,An endpoint estimate for some maximal operators, Rev.

Lacunary $\delta$-Discretised Spherical Maximal Operators Oberlin,An endpoint estimate for some maximal operators, Rev

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:40.109147Z

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.

Observation 8133aae2-c9aa-452a-bbf3-7a37c9278e88 · outbound

This paper cites an unresolved cited work.

Lacunary $\delta$-Discretised Spherical Maximal Operators Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:03:39.908737Z

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.

Observation e0df414a-5c77-4031-b9e1-dd89b178abeb · outbound

This paper cites Schlag, A generalization of Bourgain’s circular maximal theorem, J.

Lacunary $\delta$-Discretised Spherical Maximal Operators Schlag, A generalization of Bourgain’s circular maximal theorem, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:39.729712Z

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.

Observation 3ec871db-13da-4a9a-aab8-edc9c621d440 · outbound

This paper cites Schlag, A geometric proof of the circular maximal theorem, Duke Math.

Lacunary $\delta$-Discretised Spherical Maximal Operators Schlag, A geometric proof of the circular maximal theorem, Duke Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:39.530774Z

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.

Observation eef9a602-783c-4c64-95e7-3e4598d088ee · outbound

This paper cites Seeger and J.

Lacunary $\delta$-Discretised Spherical Maximal Operators Seeger and J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:39.399240Z

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.

Observation 0b35d69a-da48-4ab2-89b2-0e533ab4e5e5 · outbound

This paper cites Srivastava, On the Korányi spherical maximal function on Heisenberg groups, Math.

Lacunary $\delta$-Discretised Spherical Maximal Operators Srivastava, On the Korányi spherical maximal function on Heisenberg groups, Math

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:39.315489Z

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.

Observation 9dfe8f61-3f20-4f75-9389-80207eff7d33 · outbound

This paper cites Stein, Maximal functions.

Lacunary $\delta$-Discretised Spherical Maximal Operators Stein, Maximal functions

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:39.190643Z

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.

Observation a65382a6-717d-48dc-bdd3-27a09bfd755e · outbound

This paper cites Stein,Harmonic analysis: real-variable methods, orthogonality, and oscillatory inte- grals, Princeton University Press, Princeton, NJ., 43 (1993), xiv+695.

Lacunary $\delta$-Discretised Spherical Maximal Operators Stein,Harmonic analysis: real-variable methods, orthogonality, and oscillatory inte- grals, Princeton University Press, Princeton, NJ., 43 (1993), xiv+695

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:38.980756Z

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.

Observation df6f6977-11b1-4c9e-8336-b4d62374f367 · outbound

This paper cites Wolff, A Kakeya-type problem for circles, Amer.

Lacunary $\delta$-Discretised Spherical Maximal Operators Wolff, A Kakeya-type problem for circles, Amer

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:03:38.727554Z

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.

Pith citing papers

No inbound Pith citation observations are available.