Difference of Composition Operators on Weighted Bergman Spaces with Doubling Weights

被引:0
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作者
Yecheng Shi
Dan Qu
Songxiao Li
机构
[1] Lingnan Normal University,School of Mathematics and Statistics
[2] Macau University of Science and Technology,Faculty of Information Technology
[3] University of Electronic Science and Technology of China,Institute of Fundamental and Frontier Sciences
关键词
Weighted Bergman space; Composition operator; Difference; 32A36; 47B33;
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摘要
In this paper, some characterizations for the compact difference of composition operators on weighted Bergman spaces Aωp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A^p_\omega $$\end{document} with doubling weights are given, which extend Moorhouse’s characterization for the difference of composition operators on the weighted Bergman space Aα2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A^2_\alpha $$\end{document}.
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页码:287 / 305
页数:18
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