Discrete maximal operators and pinned simplices
Classical Analysis and ODEs
2025-06-30 v2 Combinatorics
Number Theory
Abstract
We prove estimates for certain discrete maximal operators associated to simplices. These operators are generalizations of the discrete spherical maximal operator.
Cite
@article{arxiv.2301.11359,
title = {Discrete maximal operators and pinned simplices},
author = {Neil Lyall and Akos Magyar and Alex Newman and Peter Woolfitt},
journal= {arXiv preprint arXiv:2301.11359},
year = {2025}
}
Comments
Due to an error in the original version of this paper the combinatorial application no longer included. The paper now focuses soley on what was the main and most important result of the original version. In light of the more general statement of the main result, we have changed the tile by removing the word multilinear