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Harmonic measure, Riesz transforms, and uniform rectifiability
SPEAKER  |  Xavier Tolsa
INSTITUTE  |  
DATE  |  May 12(Fri), 2017
TIME  |  17:00
PLACE  |  1503
Keyword  |  
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ABSTRACT  |  In this talk I will review some recent results on harmonic measure where the connection between Riesz transforms and rectifiability plays an essential role. In particular, I will recall a converse of the Riesz brothers theorem and the solution of the so-called two phase problem. I will also explain a more recent result on a characterization of uniform rectifiability in terms of Carleson estimates for bounded harmonic functions which is based on a corona decomposition involving harmonic measure. Some of these results are collaborations with J. Azzam, J. Garnett and M. Mourgoglou.
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