Extended Cesaro operators between Bloch-type spaces in the unit ball of Cn

被引：84
|
作者：
Tang, Xiaomin [1 ]
机构：
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 326卷 / 02期
关键词：
Bloch-type space; extended Cesaro operator; unit ball;
D O I：
10.1016/j.jmaa.2006.03.082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we characterize those holomorphic symbols p in the unit ball of C-n for which the induced extended Cesaro operator T phi : B-w -> B-mu (respectively, B-omega,B-0 -> B-mu,B-0) is bounded or compact, where omega and it are normal functions on [0, 1). In addition, we obtain some properties of those spaces B-omega and B-omega,B-0. (c) 2006 Elsevier Inc. All rights reserved.
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页码：1199 / 1211
页数：13
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