Weighted Composition Operators Between the Bloch Type Space and H∞(BX)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H^\infty (\mathbb {B}_X)$$\end{document} of Infinite Dimensional Bounded Symmetric Domains

被引:0
|
作者
Yongmin Liu
Yanyan Yu
机构
[1] Jiangsu Normal University,School of Mathematics and Statistics
[2] Xuzhou Institute of Technology,School of Mathematical and Physical Sciences
关键词
Weighted composition operator; Bloch type space; Bounded symmetric domains; JB; -triple; Kobayashi metric; Primary 47B38; 32A18; Secondary 32A30;
D O I
10.1007/s11785-018-00884-w
中图分类号
学科分类号
摘要
Under some assumptions on the symbols, we give a necessary as well as a sufficient condition when weighted composition operators between the Bloch type space and the space of bounded holomorphic functions of infinite dimensional bounded symmetric domains are bounded.
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页码:1595 / 1608
页数:13
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