Characterizations of Admissible Weighted Bergman Spaces on the Unit Ball

被引：0
作者：
Sei-Ichiro Ueki
机构：
[1] Tokai University,Department of Mathematics, Faculty of Science
来源：
Computational Methods and Function Theory | 2020年 / 20卷
关键词：
Bergman spaces; Admissible weight; Invariant gradient; Riesz measure; Primary 32A36; Secondary 30H20;
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摘要：
In this paper, we will give characterizations for weighted Bergman spaces with admissible weights. The first criterion is established by the invariant gradient on the unit ball of CN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {C}}^N$$\end{document}. The other criterion is given by the radial derivative of holomorphic functions in the unit ball.
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页码：95 / 109
页数：14
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