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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 Bloch functions, composition operators
MSC Classifications: 32A18, 30H05 show english descriptions Bloch functions, normal functions
Bounded analytic functions
32A18 - Bloch functions, normal functions
30H05 - Bounded analytic functions
 

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