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arXiv · 1910.01475

Weighted composition operators: isometries and asymptotic behaviour

I. Chalendar·J. R. Partington
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Abstract

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 operators is an isometry, and new results are given in the case of the Hardy and Bergman spaces.

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I. Chalendar, J. R. Partington. 2019-10-03. Weighted composition operators: isometries and asymptotic behaviour. https://arxiv.org/abs/1910.01475

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