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Radius problems for holomorphic mappings on the unit ball in Cn

✍ Scribed by Ian Graham; Hidetaka Hamada; Gabriela Kohr

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
201 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we obtain certain results related to radius of starlikeness, convexity, parametric representation and Bloch radius for some classes of holomorphic mappings on the unit ball B ^n^ in β„‚^n^ . In particular, we consider the class ℳ︁ of mappings of β€œpositive real part” and some related classes. We also consider two classes of mappings defined by coefficient inequalities. In the last section we consider the complex Hilbert space case of certain results which are treated in the previous sections. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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