A different approach to endpoint weak-type estimates for Calderón-Zygmund operators

Series
Analysis Seminar
Time
Tuesday, September 15, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Location
https://us02web.zoom.us/j/87104893132
Speaker
Cody Stockdale – Clemson – cbstock@clemson.edu
Organizer
Ben Jaye

The weak-type (1,1) estimate for Calderón-Zygmund operators is fundamental in harmonic analysis. We investigate weak-type inequalities for Calderón-Zygmund singular integral operators using the Calderón-Zygmund decomposition and ideas inspired by Nazarov, Treil, and Volberg. We discuss applications of these techniques in the Euclidean setting, in weighted settings, for multilinear operators, for operators with weakened smoothness assumptions, and in studying the dimensional dependence of the Riesz transforms.