Speaker: Árpád Bényi (Western Washington University)

 

Title: Compactness in the Calderón-Zygmund theory and beyond

 

 

Abstract:  The celebrated theorem of David and Journé from the 80s provides a characterization of the \(L^2\)-boundedness of operators \(T\) with Calderón-Zygmund kernels in terms of appropriate conditions on \(T1\) and \(T^*1\). After recalling this result and some relevant equivalent formulations of it, we discuss several versions of the \(T1\) theorem characterizing the \(L^2\)-compactness of Calderón-Zygmund operators and some of their applications to pseudodifferential operators and commutators.

 

The talk is intended for a general audience, and it is based on some recent joint works with Guopeng Li (Beijing Institute of Technology), Tadahiro Oh (University of Edinburgh), and Rodolfo H. Torres (University of California, Riverside).

 

 

Host: Bingyang Hu

 

For more details, please visit https://webhome.auburn.edu/~lzc0090/SASA/20260323_Benyi.html.