Boundary estimates for the fractional spherical maximal function
Analysis of PDEs
2026-04-29 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
In this article, we study the fractional spherical maximal function and its lacunary counterpart. We study the necessary and sufficient conditions for boundedness of both maximal functions. In particular, we prove the restricted weak type estimate for both full and lacunary fractional spherical maximal functions at the boundary of the maximal bounded regions.
Cite
@article{arxiv.2604.25091,
title = {Boundary estimates for the fractional spherical maximal function},
author = {Riju Basak and Surjeet Singh Choudhary and Daniel Spector},
journal= {arXiv preprint arXiv:2604.25091},
year = {2026}
}
Comments
20 pages, 8 figures, 2 tables