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Weighted composition operators on the Bloch space

Published online by Cambridge University Press:  17 April 2009

Shûichi Ohno
Affiliation:
Department of Mathematics, Nippon Institute of Technology, 4–1 Gakuendai, MiyashiroMinami-Saitama 345–8501, Japan e-mail: ohno@nit.ac.jp
Ruhan Zhao
Affiliation:
Department of Mathematical Sciences, University of Montana, Missoula, MT 59812United States of America e-mail: zhao@selway.umt.edu
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Abstract

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We characterise bounded and compact weighted composition operators on the Bloch space and the little Bloch space. The results generalise the known corresponding results on composition operators and pointwise multipliers on the Bloch space and the little Bloch space.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001

References

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