Composition operators on weighted Bergman spaces of Dirichlet series

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:426

Article

Bailleul, Maxime

关键词: Weighted Bergman spaces;    Carleson measure;    Composition operator;    Dirichlet series;    Essential norm;    Generalized Nevanlinna counting function;   

DOI  :  10.1016/j.jmaa.2015.01.010

来源: Elsevier

【 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.

【 授权许可】

Free