Discrete maximal operators and pinned simplices

2023/01/26 by Lyall, Neil, Magyar, Akos, Newman, Alex +1
#Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2301.11359

Abstract

We prove ℓ² estimates for certain discrete maximal operators associated to simplices. These operators are generalizations of the discrete spherical maximal operator.

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