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Univalently Induced, Closed Range, Composition Operators on the Bloch-type Spaces

Published online by Cambridge University Press:  20 November 2018

Nina Zorboska
Nina Zorboska*
Affiliation:
Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2e-mail:zorbosk@cc.umanitoba.ca
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Abstract

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While there is a large variety of univalently induced closed range composition operators on the Bloch space, we show that the only univalently induced, closed range, composition operators on the Bloch-type spaces ${{B}^{\alpha }}$ with $\alpha \,\ne \,1$ are the ones induced by a disc automorphism.

Keywords

47B3532A18composition operatorsBloch-type spacesclosed rangeunivalent
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 2 , 01 June 2012 , pp. 441 - 448
Copyright
Copyright © Canadian Mathematical Society 2012

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