FALL 2020 Nonlinear Analysis Seminar Series

Title: Sparse domination results for compact operators

Abstract:

The boundedness properties of Calderón-Zygmund singular integral operators are of central importance in harmonic analysis, while the corresponding properties on weighted spaces has been of more recent interest. Indeed, within the last decade, optimal bounds for Calderón-Zygmund operators acting on weighted Lebesgue spaces have been obtained using sparse domination techniques. In addition to this theory concerning boundedness of Calderón-Zygmund operators, a theory for compactness of these operators has recently been established. In this talk, we present the extension of compact Calderón-Zygmund theory to weighted spaces using sparse domination methods. This work is joint with Paco Villarroya and Brett Wick.

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