Analysis Seminar: Tb Theorem for Singular Integral Operators in the Dunkl Setting

Abstract: In this talk, we will discuss a 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 theorem of David, Journé, and Semmes, our ongoing work aims to establish boundedness criteria via testing conditions against para-accretive functions adapted to the Dunkl structure.

Host: Alan Chang