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Functions of bounded expansion: normal and Bloch functions

Published online by Cambridge University Press:  09 April 2009

P. M. Gauthier
Affiliation:
Département de mathématiques et de statistique, Université de Montréal, Montréal H3C3J7, Canada e-mail: [email protected]
J. Xiao
Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China e-mail: [email protected]
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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1999

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