加权复合算子:等距和渐近行为

IF 0.7 4区数学 Q2 MATHEMATICS Journal of Operator Theory Pub Date : 2019-10-03 DOI:10.7900/jot.2020feb28.2292

I. Chalendar, J. Partington

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引用次数: 7

摘要

本文研究了加权复合算子在解析函数空间上的迭代行为，特别是在Hardy空间H2上。统一收敛、强收敛和弱收敛的问题在许多情况下都得到了解决。与此相关的是加权合成算子何时是等距的问题，并且在Hardy和Bergman空间的情况下给出了新的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Weighted composition operators: isometries and asymptotic behaviour

This paper studies the behaviour of iterates of weigh\-ted composition operators acting on spaces of analytic functions, with particular emphasis on the Hardy space H2. 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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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.

期刊最新文献

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