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Functions of bounded expansion: normal and Bloch functions

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  09 April 2009

P. M. Gauthier  and
J. Xiao
P. M. Gauthier
Affiliation:
Département de mathématiques et de statistique, Université de Montréal, Montréal H3C3J7, Canada e-mail: gauthier@dms.umontreal.ca
J. Xiao
Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China e-mail: jxiao@sxxxo.math.pku.edu.cn
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Abstract

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Normal functions and Bloch functions are respectively functions of bounded spherical expansion and bounded Euclidean expansion. In this paper we discuss the behaviour of normal functions and of Bloch functions in terms of the maximal ideal space of H∞, the Bergman projection and the Ahlfors-Shimizu characteristic.

MSC classification

Secondary: 30D35: Distribution of values, Nevanlinna theory 30D45: Bloch functions, normal functions, normal families
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 66 , Issue 2 , April 1999 , pp. 168 - 188
Copyright
Copyright © Australian Mathematical Society 1999

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