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Linear Combinations of Composition Operators on the Bloch Spaces

  Published:2011-02-25
 Printed: Aug 2011
  • Takuya Hosokawa,
    Faculty of Engineering, Ibaraki University, Hitachi, Ibaraki 316-8511, Japan
  • Pekka J. Nieminen,
    Department of Mathematics and Statistics, University of Helsinki, FI-00014 Helsinki, Finland
  • Shûichi Ohno,
    Nippon Institute of Technology, Miyashiro, Minami-Saitama 345-8501, Japan
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Abstract

We characterize the compactness of linear combinations of analytic composition operators on the Bloch space. We also study their boundedness and compactness on the little Bloch space.
Keywords: composition operator, compactness, Bloch space composition operator, compactness, Bloch space
MSC Classifications: 47B33, 30D45, 47B07 show english descriptions Composition operators
Bloch functions, normal functions, normal families
Operators defined by compactness properties
47B33 - Composition operators
30D45 - Bloch functions, normal functions, normal families
47B07 - Operators defined by compactness properties
 

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