The Bergman projection in $L^p$ for domains with minimal smoothness

Paper

Abstract

Let

be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove

-regularity for the Bergman projection

, and for the operator

whose kernel is the absolute value of the Bergman kernel with

in the range

. As an application, we show that the space of holomorphic functions in a neighborhood of

is dense in