Speaker: Cody B. Stockdale (Clemson University)

 

Title: On the theory of compact Calderón-Zygmund operators

 

Abstract: While the boundedness properties of Calderón-Zygmund singular integral operators are classical in harmonic analysis, a theory for compact CZ operators has more recently been established. We present new developments in the theory of compact CZ operators. In particular, we give a new formulation of the T1 theorem for compactness of CZ operators, which, compared to existing compactness criteria, more closely resembles David and Journé’s original T1 theorem for boundedness and follows from a simpler argument. Additionally, we discuss the extension of compact CZ theory to weighted Lebesgue spaces via sparse domination methods.

 

This talk is based on joint works with Mishko Mitkovski, Paco Villarroya, and Brett Wick.

 

 

Host: Bingyang Hu

Seminars on Analysis and Stochastic Analysis