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A note on the radial growth of Bloch functions

Published online by Cambridge University Press:  17 April 2009

Daniel Girela
Daniel Girela
Affiliation:
Análisis Matemático Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain
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Abstract

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The radial growth of Bloch functions has been extensively studied. Using integral means estimates and the Hardy Littlewood theorem, Makarov proved the so called law of iterated logarithm for Bloch functions. This result has also been obtained using probabilistic arguments. In this paper we present another method of studying the radial growth of Bloch functions, having the integral means estimates as starting point and using certain results about normal functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 1 , February 1992 , pp. 143 - 149
Copyright
Copyright © Australian Mathematical Society 1992

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