Session S38 - Geometric Potential Analysis

Friday, July 16, 19:00 ~ 19:30 UTC-3

Singular Integrals, Geometry of Sets, and Boundary Problems

Marius Mitrea

Baylor University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Presently, it is well understood what geometric features are necessary and sufficient to guarantee the boundedness of convolution-type singular integral operators on Lebesgue spaces. This being said, dealing with other function spaces where membership entails more than a mere size condition (like Sobolev spaces, Hardy spaces, or the John-Nirenberg space BMO) requires new techniques. In this talk I will explore recent progress in this regard, and follow up the implications of such advances into the realm of boundary value problems.

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