Composition operators on weighted Bergman spaces of Dirichlet series

被引：16
|
作者：
Bailleul, Maxime [1 ]
机构：
[1] Univ Lille Nord de France UArtois, Lab Math Lens EA 2462, Federat CNRS Nord Pas de Calais FR 2956, F-62300 Lens, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 426卷 / 01期
关键词：
Weighted Bergman spaces; Carleson measure; Composition operator; Dirichlet series; Essential norm; Generalized Nevanlinna counting function; HARDY-SPACES;
D O I：
10.1016/j.jmaa.2015.01.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study boundedness and compactness of composition operators on weighted Bergman spaces of Dirichlet series. Particularly, we obtain in some specific cases, upper and lower bounds of the essential norm of these operators and a criterion of compactness on classical weighted Bergman spaces. Moreover, a sufficient condition of compactness is obtained using the notion of Carleson's measure. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：340 / 363
页数：24
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