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# Boundedness from Below of Composition Operators on $\alpha$-Bloch Spaces

Published:2008-06-01
Printed: Jun 2008
• Huaihui Chen
• Paul Gauthier
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## Abstract

We give a necessary and sufficient condition for a composition operator on an $\alpha$-Bloch space with $\alpha\ge 1$ to be bounded below. This extends a known result for the Bloch space due to P. Ghatage, J. Yan, D. Zheng, and H. Chen.
 Keywords: Bloch functions, composition operators
 MSC Classifications: 32A18 - Bloch functions, normal functions 30H05 - Bounded analytic functions