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

R. Shamoyan, E. B. Tomashevskaya, Роми Ф. Шамоян, Елена В. Томашевская
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引用次数: 2

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.
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有界伪凸域上解析函数空间的新分解定理
j=1 ||fj ||Xj ̄|f1…f, fj, j = 1,…的光滑有界伪凸域上解析函数的各种(Xj)空间的fm||Apα。,m为解析函数,其中a α, 0 < p <∞,α > - 1为Bergman空间。这也特别在各个方向上扩展了已知的Bergman a α空间的原子分解定理。
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