Isometric weighted composition operators on weighted Bergman spaces

被引：6
|
作者：
Zorboska, Nina [1 ]
机构：
[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 461卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Weighted composition operators; Weighted Bergman spaces; Isometry; Wold decomposition; Numerical range; HARDY;
D O I：
10.1016/j.jmaa.2018.01.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：657 / 675
页数：19
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