Spherical maximal estimates via geometry
Classical Analysis and ODEs
2024-12-19 v1
Abstract
We present a simple geometric approach to studying the boundedness properties of Stein's spherical maximal operator, which does not rely on the Fourier transform. Using this, we recover a weak form of Stein's spherical maximal theorem.
Cite
@article{arxiv.2412.13315,
title = {Spherical maximal estimates via geometry},
author = {Jonathan Hickman and Ajša Jančar},
journal= {arXiv preprint arXiv:2412.13315},
year = {2024}
}
Comments
13 pages, 1 figure