A Bekolle-Bonami Class of Weights for Certain Pseudoconvex Domains

Summary: A weighted L-p norm estimate for the Bergman projection on a class of pseudoconvex domains is established, with upper and lower bounds obtained for specific types of domains. The upper bound is related to the Bekolle-Bonami constant and is sharp, while the lower bound is obtained for smooth, bounded, and strictly pseudoconvex domains. Additionally, the Bergman projection is shown to be weak-type (1, 1) on these domains.