Starlike mappings on bounded balanced domains with \(C^1\)-plurisubharmonic defining functions
type: Item
instance of: scholarly article
title: Starlike mappings on bounded balanced domains with \(C^1\)-plurisubharmonic defining functions
zbMATH Open document ID: 1018.32018
author: H. Hamada
published in: Pacific Journal of Mathematics
publication date: 2000-12-03T00:00:00Z
review text: Let \(D\) be a bounded balanced domain in \(\mathbb{C}^n\) with \(C^1\) plurisubharmonic defining function. The author gives a necessary and sufficient condition for a locally biholomorphic mapping from \(D\) into \(\mathbb{C}^n\) to be starlike. A growth theorem for normalized starlike mappings is also derived. Finally, the author gives a quasiconformal extension of strongly starlike mappings defined on \(D\).
Mathematics Subject Classification ID: 32H02
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 1537841
zbMATH Keywords: bounded balanced domain
zbMATH Keywords: defining function
zbMATH Keywords: biholomorphic mapping
zbMATH Keywords: starlike mapping
reviewed by: Martin Chuaqui
MaRDI profile type: Publication
full work available at URL: pjm.2000.194.359
OpenAlex ID: W1979518585
DOI: 10.2140/PJM.2000.194.359
description: scientific article; zbMATH DE number 1537841