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Power Bounded Composition Operators

Power Bounded Composition Operators Let ϕ be an analytic self-map of the open unit disk D. Such a map induces a composition operator C ϕ acting on weighted Bergman spaces of infinite order. We study when such operators are power bounded and when they are uniformly mean ergodic. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Power Bounded Composition Operators

Computational Methods and Function Theory , Volume 12 (1) – Nov 19, 2011

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321816
Publisher site
See Article on Publisher Site

Abstract

Let ϕ be an analytic self-map of the open unit disk D. Such a map induces a composition operator C ϕ acting on weighted Bergman spaces of infinite order. We study when such operators are power bounded and when they are uniformly mean ergodic.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Nov 19, 2011

References