A Békollè-Bonami Class of Weights for Certain Pseudoconvex Domains

Published 22 Jan 2020 in math.CV | (2001.08302v3)

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 B\'{e}koll`{e}-Bonami class. The main tools used are estimates on the Bergman kernel obtained by McNeal and B\'{e}koll`{e}'s original approach of proving a good-lambda inequality.

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