Abstract

In harmonic analysis, Muckenhoupt Ap condition characterizes weighted spaces on which classical operators are bounded. An analogue Bp condition for the Bergman projection was established by Bekolle and Bonami. Recently, weighted norm estimates were obtained for the Bergman projection on various settings. In this talk, I will present sharp estimates for the weighted Lp norm of the projection on a class of pseudoconvex domains. I will also explain the dyadic operator technique used in the proof and some applications. This talk is based on joint work with Nathan Wagner and Brett Wick.