On New Decomposition Theorems in some Analytic Function Spaces in Bounded Pseudoconvex Domains

Abstract

j=1 ||fj ||Xj ≍ ||f1 . . . fm||Apα for various (Xj) spaces of analytic functions in bounded pseudoconvex domains with smooth boundary where f, fj , j = 1, . . . ,m are analytic functions and where Aα, 0 < p < ∞, α > −1 is a Bergman space. This in particular also extend in various directions a known theorem on atomic decomposition of Bergman Aα spaces.