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Sparse bounds for the discrete spherical maximal function [Presentación]
(2021-10-24)
We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proof is inspired by ones by Bourgain and ...
Sparse bounds for Bochner-Riesz and Maximal Bocher-Riesz
(2019-06-05)
The Bochner-Riesz means arise from the study of convergence of Fourier series. Analyzing the behavior of its maximal operator, we can understand its pointwise convergence. We obtain some preliminary results stablishing ...
The Sparse T1 Theorem [presentación]
(2017-03)