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Linear Combinations of Composition Operators on the Bloch Spaces

Published online by Cambridge University Press:  20 November 2018

Takuya Hosokawa ,
Pekka J. Nieminen  and
Shûichi Ohno
Takuya Hosokawa
Affiliation:
Faculty of Engineering, Ibaraki University, Hitachi, Ibaraki 316-8511, Japan email: hoso-t@mx.ibaraki.jp
Pekka J. Nieminen
Affiliation:
Department of Mathematics and Statistics, University of Helsinki, FI-00014 Helsinki, Finland email: pjniemin@cc.helsinki.fi
Shûichi Ohno
Affiliation:
Nippon Institute of Technology, Miyashiro, Minami-Saitama 345-8501, Japan email: ohno@nit.ac.jp
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Abstract

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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

47B3330D4547B07composition operatorcompactnessBloch space

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 4 , 01 August 2011 , pp. 862 - 877
Copyright
Copyright © Canadian Mathematical Society 2011

References

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