arXiv subjects

Peter Woolfitt

Publications and source records attributed to Peter Woolfitt.

2 recordsLinked to original sources

arXiv2023

The Discrete Spherical Maximal Function: A new proof of $\ell^2$-boundedness

We provide a new direct proof of the $\ell^2$-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.

math.CA↗

arXiv2023

Discrete maximal operators and pinned simplices

We prove $\ell^2$ estimates for certain discrete maximal operators associated to simplices. These operators are generalizations of the discrete spherical maximal operator.

math.CA↗