Weighted Composition Operators from the Bloch Space to Weighted Banach Spaces on Bounded Homogeneous Domains
Weighted Composition Operators from the Bloch Space to Weighted Banach Spaces on Bounded Homogeneous Domains作者机构：Department of Mathematics University of Wisconsin-La Crosse
出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)
年 卷 期：2014年第30卷第2期
页 面：236-248页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：Weighted composition operators Bloch space weighted Banach space homogeneous domain.
摘 要：We study the bounded and the compact weighted composition operators from the Bloch space into the weighted Banach spaces of holomorphic functions on bounded homogeneous domains, with particular attention to the unit polydisk. For bounded homogeneous domains, we characterize the bounded weighted composition operators and determine the operator norm. In addition, we provide sufficient conditions for compactness. For the unit polydisk, we completely characterize the compact weighted composition operators, as well as provide ＂computable＂ estimates on the operator norm.
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