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.
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页码：11 / +
页数：3
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