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Probability Seminar: Michael Perlmutter, UNC-CH

January 19 @ 4:15 pm - 5:15 pm

Michael Perlmutter
UNC-Chapel Hill
Department of Statistics and Operations Research

 

Martingale Transforms and their Applications to Harmonic Analysis

Martingale transform methods are a powerful tool for the study of many operators of classical interest in harmonic analysis such as the Riesz transforms and the Beurling-Ahlfors transform. In particular, these methods allow us to transfer D.L. Burkholder’s sharp constant, p*-1, for the boundedness of martingale transforms to a large class of analytic operators. I will discuss the history of such methods and some of their limitations. I will then show how some of these obstacles can be overcome by a combination of probabilistic and analytic techniques.

 

Refreshments will be served at 3:45 in the 3rd floor lounge of Hanes Hall

Details

Date:
January 19
Time:
4:15 pm - 5:15 pm
Event Category:

Venue

Hanes Hall