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

Tuesday, April 23, 2019 - 2:00pm
Math Sci 111
Cody Stockdale
(Washington University in St Louis)

The weak-type (1,1) estimate for Calderón-Zygmund operators is essential 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 proof technique. A comparison between the Calderón-Zygmund decomposition and Nazarov-Treil-Volberg techniques, a simplification of the Nazarov-Treil-Volberg proof in the classical setting, and applications in weighted and multilinear settings will be discussed. 

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