The Discrete Spherical Maximal Function: A new proof of $\ell^2$-boundedness
Classical Analysis and ODEs
2023-01-30 v1 Number Theory
Abstract
We provide a new direct proof of the -boundedness of the Discrete Spherical Maximal Function that neither relies on abstract transference theorems (and hence Stein's Spherical Maximal Function Theorem) nor on delicate asymptotics for the Fourier transform of discrete spheres.
Keywords
Cite
@article{arxiv.2301.11352,
title = {The Discrete Spherical Maximal Function: A new proof of $\ell^2$-boundedness},
author = {Neil Lyall and Akos Magyar and Alex Newman and Peter Woolfitt},
journal= {arXiv preprint arXiv:2301.11352},
year = {2023}
}