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Boundedness from Below of Composition Operators on α-Bloch Spaces

Published online by Cambridge University Press:  20 November 2018

Huaihui Chen  and
Paul Gauthier
Huaihui Chen
Affiliation:
Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China e-mail: hhchen@njnu.edu.cn
Paul Gauthier
Affiliation:
Mathématiques et Statistique, CP-6128 Centre Ville, Université de Montréal, Montréal, PQ, H3C3J7 e-mail: gauthier@dms.umontreal.ca
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Abstract

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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

32A1830H05Bloch functionscomposition operators
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 2 , 01 June 2008 , pp. 195 - 204
Copyright
Copyright © Canadian Mathematical Society 2008

References

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