Isometric weighted composition operators on weighted Bergman spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:461

Article

Zorboska, Nina¹ 

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

关键词: Weighted composition operators;    Weighted Bergman spaces;    Isometry;    Wold decomposition;    Numerical range;   

DOI  :  10.1016/j.jmaa.2018.01.036

来源: Elsevier

【 摘 要 】

We characterize the isometric weighted composition operators on weighted Bergman spaces over the unit disk. We also determine the Wold decomposition of isometric weighted composition operators acting on a class of general reproducing kernel Hilbert spaces in the case when the composition symbol has an interior fixed point, and characterize the numerical range of isometric weighted composition operators on weighted Bergman spaces. Crown Copyright (C) 2018 Published by Elsevier Inc. All rights reserved.

【 授权许可】

Free