WEIGHTED COMPOSITION OPERATORS: ISOMETRIES AND ASYMPTOTIC BEHAVIOUR

被引：10

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.

引用

页码：189 / 201

页数：13

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