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Radius problems for holomorphic mappings on the unit ball in Cn
Author(s) -
Graham Ian,
Hamada Hidetaka,
Kohr Gabriela
Publication year - 2006
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510433
Subject(s) - holomorphic function , mathematics , unit sphere , convexity , pure mathematics , ball (mathematics) , hilbert space , mathematical analysis , discrete mathematics , financial economics , economics
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 ℂ n . In particular, we consider the class ℳ of mappings of “positive 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. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)