Spherical maximal estimates via geometry
Volume 178 / 2025
Colloquium Mathematicum 178 (2025), 97-112
MSC: Primary 42B25
DOI: 10.4064/cm9548-4-2025
Published online: 7 May 2025
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.
