Weighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain

被引：24

作者：

Allen, Robert F. ^{[1
]}

Colonna, Flavia ^{[2
]}

机构：

[1] Univ Wisconsin La Crosse, Dept Math, La Crosse, WI 54601 USA

[2] George Mason Univ, Dept Math Sci, Fairfax, VA 22030 USA

来源：

TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1 | 2010年 / 202卷

关键词：

Weighted composition operators; Bloch space; Homogeneous domains; ISOMETRIC COMPOSITION OPERATORS; UNIT BALL; COMPLEX-VARIABLES; H-INFINITY;

D O I：

10.1007/978-3-0346-0158-0_2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present the current results in the study of weighted composition operators on the Bloch space of bounded homogeneous domains in C-n with particular emphasis on the issues of boundedness and compactness. We also discuss the bounded and the compact weighted composition operators from the Bloch space to the Hardy space H-infinity.

引用

页码：11 / +

页数：3

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