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Weighted composition operators: isometries and asymptotic behaviour

Isabelle Chalendar, Jonathan R. Partington

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Source: Crossref

Published: Jun 15, 2021

DOI: 10.7900/jot.2020feb28.2292

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Source abstract

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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Weighted composition operators: isometries and asymptotic behaviour — Mathematical Frontier Network