Variation bounds for spherical averages over restricted dilates

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2409.05579 v1 pith:AAT2O7BK submitted 2024-09-09 math.CA

Reuben Wheeler This is my paper · ORCID

classification math.CA

keywords sphericalvariationaveragesaveragingboundsdilatesestimatesoperator

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

We study $L^p\rightarrow L^q(V^r_E)$ variation semi-norm estimates for the spherical averaging operator, where $E\subset [1,2]$.

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Endpoint estimates for the fractal circular maximal function and related local smoothing
math.CA 2025-06 conditional novelty 7.0 of 10

For dilation sets with bounded Assouad dimension α, the circular maximal function is proven of restricted weak type at the endpoint Q_{4,α}, and the fractal local smoothing estimate holds for an extended range of q.