Journal of Operator Theory
Volume 86, Issue 1, Summer 2021 pp. 189-201.
Weighted composition operators: isometries and asymptotic behaviour
Authors:
Isabelle Chalendar (1), Jonathan R. Partington (2)
Author institution: (1) LAMA, Universite Gustave Eiffel, Universite Paris Est Creteil, CNRS, F-77454 Marne-la-Vallee, France
(2) School of Mathematics, University of Leeds, Leeds LS2 9JT, U.K.
Summary: 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.
DOI: http://dx.doi.org/10.7900/jot.2020feb28.2292
Keywords: weighted composition operator, iteration, isometry
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