R. Shamoyan, E. B. Tomashevskaya, Роми Ф. Шамоян, Елена В. Томашевская
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引用次数: 2
摘要
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。
On New Decomposition Theorems in some Analytic Function Spaces in Bounded Pseudoconvex Domains
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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