2 papers
math.CA2023
The Discrete Spherical Maximal Function: A new proof of -boundedness
Neil Lyall, Akos Magyar, Alex Newman +1
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 Spheri…
math.CA2023
Discrete maximal operators and pinned simplices
Neil Lyall, Akos Magyar, Alex Newman +1
We prove estimates for certain discrete maximal operators associated to simplices. These operators are generalizations of the discrete spherical maximal operator.