WEIGHTED COMPOSITION OPERATORS: ISOMETRIES AND ASYMPTOTIC BEHAVIOUR

被引：8
|
作者：
Chalendar, Isabelle [1 ]
Partington, Jonathan R. [2 ]
机构：
[1] Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, F-77454 Marne La Vallee, France
[2] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England
来源：
JOURNAL OF OPERATOR THEORY | 2021年 / 86卷 / 01期
关键词：
Weighted composition operator; iteration; isometry; SPACES; HARDY; SPECTRA; POWERS;
D O I：
10.7900/jot.2020feb28.2292
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper studies the behaviour of iterates of weighted composition operators acting on spaces of analytic functions, with particular emphasis on the Hardy space H-2. Questions relating to uniform, strong and weak convergence are resolved in many cases. Connected to this is the question when a weighted composition operator is an isometry, and new results are given in the case of the Hardy and Bergman spaces.
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页码：189 / 201
页数：13
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