We establish a weighted Lp norm estimate for the Bergman projection for a
class of pseudoconvex domains. We obtain an upper bound for the weighted Lp
norm when the domain is, for example, a bounded smooth strictly pseudoconvex
domain, a pseudoconvex domain of finite type in C2, a convex domain
of finite type in Cn, or a decoupled domain of finite type in
Cn. The upper bound is related to the Bekoll\'e-Bonami constant and
is sharp. When the domain is smooth, bounded, and strictly pseudoconvex, we
also obtain a lower bound for the weighted norm.Comment: 28 pages. An application to the weak-type estimate is added as a new
sectio