Norm Estimates for Weighted Composition Operators on Spaces of Holomorphic Functions

被引：0
|
作者：
Isabelle Chalendar
Jonathan R. Partington
机构：
[1] Université de Lyon,School of Mathematics
[2] CNRS,undefined
[3] Université Lyon 1,undefined
[4] INSA de Lyon,undefined
[5] Ecole Centrale de Lyon CNRS,undefined
[6] UMR 5208,undefined
[7] Institut Camille Jordan,undefined
[8] University of Leeds,undefined
来源：
Complex Analysis and Operator Theory | 2014年 / 8卷
关键词：
Weighted composition operator; Hardy space; Weighted Bergman space; Zen space; Lower-triangular operator; Causal operator; 47B38; 47B33; 30D55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper shows that the boundedness of a weighted composition operator on the Hardy–Hilbert space on the disc or half-plane implies its boundedness on a class of related spaces, including weighted Bergman spaces. The methods used involve the study of lower-triangular and causal operators.
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页码：1087 / 1095
页数：8
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