Speaker：Ji Li（Macquarie University）

Time：2021-07-09 15:00

Location： Zoom APP ID:6361440113（Pwd:12345）

Abstract:

In this talk we will first recall some background of the Dunkl transform and related results. Next we introduce our recent progress on characterising the pointwise size and regularity estimates for the Dunkl Riesz transform kernel involving both the Euclidean metric and the Dunkl metric, where the two metrics are not equivalent. We will further talk about characterisation of boundedness of commutator of the Dunkl Riesz transform via the BMO space associated with the Euclidean metric and the Dunkl measure. In the end we will discuss some potential topics along this line.