A Békollè-Bonami Class of Weights for Certain Pseudoconvex Domains

Abstract

We prove the weighted $L^p$ regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the Békollè-Bonami class. The main tools used are estimates on the Bergman kernel obtained by McNeal and Békollè's original approach of proving a good-lambda inequality.

24 pages

References in corpus (1)

• Bekollé-Bonami estimates on some pseudoconvex domains

Cited by in corpus (1)

• Bergman projection on the symmetrized bidisk