On New Decomposition Theorems in some Analytic Function Spaces in Bounded Pseudoconvex Domains
Author:
Shamoyan Romi F.1,
Tomashevskaya Elena B.1
Affiliation:
1. Bryansk State University
Abstract
We provide new sharp decomposition theorems for multifunctional Bergman spaces in the unit ball and bounded pseudoconvex domains with smooth boundary expanding known results from the unit ball. Namely we prove that mΠ j=1 jjfj jjXj ≍ jjf1 : : : fmjj Ap 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 Ap ; 0 < p < 1; > �����1 is a Bergman space. This in particular also extend in various directions a known theorem on atomic decomposition of Bergman Ap spaces.
Publisher
Siberian Federal University
Subject
General Physics and Astronomy,General Mathematics
Cited by
1 articles.
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