Carleson embeddings and some classes of operators on weighted Bergman spaces

被引：40
|
作者：
Constantin, Olivia [1 ]
机构：
[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 02期
关键词：
Weighted Bergman spaces; Carleson measures; Toeplitz operators; Composition operators; INTEGRATION OPERATORS; ANALYTIC-FUNCTIONS;
D O I：
10.1016/j.jmaa.2009.11.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove Carleson-type embedding theorems for weighted Bergman spaces with Bekolle weights. We use this to study properties of Toeplitz-type operators, integration operators and composition operators acting on such spaces. In particular, we investigate the membership of these operators to Schatten class ideals. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：668 / 682
页数：15
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