Seminars & Colloquia Calendar
Dimension free estimates for the discrete Hardy--Littlewood maximal functions
Mariusz Mirek, Rutgers University
Location: Hill 705
Date & time: Tuesday, 05 November 2019 at 1:40PM - 2:50PM
Abstract: The aim of this talk is to discuss recent developments in dimension-free estimates in harmonic analysis. We show that the discrete Hardy--Littlewood maximal functions associated with the Euclidean balls in Z^d with dyadic radii have bounds independent of the dimension on L^p(Z^d) for every p bigger or equal 2.
This talk is based on joint papers with J. Bourgain, E.M. Stein and B. Wrobel.