Mathematical Physics and Harmonic Analysis Seminar

Date: October 18, 2019

Time: 1:50PM - 2:50PM

Location: BLOC 628

Speaker: Cody Stockdale, Washington University, St. Louis

Title: A Different Approach to Endpoint Weak-type Estimates for Calderón-Zygmund Operators

Abstract: The weak-type (1,1) estimate for Calderón-Zygmund operators is fundamental in harmonic analysis. This estimate was originally proved using the Calderón-Zygmund decomposition. To address more general settings, Nazarov, Treil, and Volberg gave a different proof of the weak-type (1,1) estimate. We investigate this alternative proof technique. We will compare the Calderón-Zygmund decomposition and Nazarov-Treil-Volberg techniques, discuss a simplification of the Nazarov-Treil-Volberg proof in the Lebesgue setting, and describe applications in a variation of the classical setting, weighted settings, and multilinear settings.