Applications of a decomposition of holomorphic mappings in \(\mathbb C^n\) with respect to a cyclic group
type: Item
instance of: scholarly article
title: Applications of a decomposition of holomorphic mappings in \(\mathbb C^n\) with respect to a cyclic group
zbMATH Open document ID: 1029.32006
DOI: 10.1016/S0022-247X(03)00098-2
author: Piotr Liczberski
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-07-30T00:00:00Z
review text: The author applies the decomposition with respect to the group of roots of unity to characterize some classes of biholomorphic mappings in \(\mathbb{C}^n\). The author considers the problem of subordination and majorization between convex mappings and their components in the above representation. Finally, a distortion theorem for convex mappings and a criterion for starlikeness in \(\mathbb{C}^n\) are given.
Mathematics Subject Classification ID: 32H02
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 1956861
zbMATH Keywords: linear representation
zbMATH Keywords: cyclic group
zbMATH Keywords: starlike
zbMATH Keywords: convex mapping
zbMATH Keywords: subordination
reviewed by: Martin Chuaqui
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1956861