Spherical maximal estimates via geometry

Jonathan Hickman, Ajša Jančar

Type: Preprint

Publication Date: 2024-12-17

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2412.13315

Abstract

We present a simple geometric approach to studying the $L^p$ 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.

Locations

arXiv (Cornell University) - View - PDF

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