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ORDER BOUNDED WEIGHTED COMPOSITION OPERATORS

Part of: Special classes of linear operators

Published online by Cambridge University Press:  09 April 2013

ELKE WOLF
ELKE WOLF*
Affiliation:
Mathematical Institute, University of Paderborn, Warburger Str. 100, 33098 Paderborn, Germany (email: anelwo2@gmx.de)
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Abstract

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Let $\phi $ and $\psi $ be analytic maps on the open unit disk $D$ such that $\phi (D) \subset D$. Such maps induce a weighted composition operator $C_{\phi ,\psi }$ acting on weighted Banach spaces of type $H^{\infty }$or on weighted Bergman spaces, respectively. We study when such operators are order bounded.

Keywords

weighted composition operatorsorder boundedweighted Bergman spacesweighted Banach spaces of holomorphic functions

MSC classification

Secondary: 47B33: Composition operators
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 93 , Issue 3 , December 2012 , pp. 333 - 343
Copyright
Copyright © 2013 Australian Mathematical Publishing Association Inc. 

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