Speaker: Brandon Sweeting (Washington University at St. Louis)

Title: Tb Theorem for Singular Integral Operators in the Dunkl Setting

 

 

Abstract: In this talk, we will discuss a Tb theorem for a family of singular integral operators in the Dunkl setting. These operators, which extend the behavior of the Dunkl–Riesz transforms, have kernels satisfying estimates that lie outside the Coifman–Weiss framework for singular integral operators on general spaces of homogeneous type. In analogy with the Tb theorem of David, Journé, and Semmes, our results establish L2 boundedness criteria via testing conditions against para-accretive functions adapted to the Dunkl structure.

 

This is joint work with Francesco D’Emilio, Ji Li, and Brett Wick.

 

 

Host: Bingyang Hu

 

For more details, please visit
https://webhome.auburn.edu/~lzc0090/SASA/20251203_Sweeting.html