Proper holomorphic maps from weakly pseudoconvex domains
type: Item
instance of: scholarly article
title: Proper holomorphic maps from weakly pseudoconvex domains
zbMATH Open document ID: 0716.32017
DOI: 10.1215/S0012-7094-90-06014-4
published in: Duke Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: Let D be a bounded pseudoconvex domain in \({\mathbb{C}}^ 2\) with real- analytic boundary. The authors prove the existence of a proper holomorphic mapping from D into the unit polydisc in \({\mathbb{C}}^ 3\). They also prove that there exists a uniformly continuous proper holomorphic mapping from D into the unit ball in \({\mathbb{C}}^ 3\). The techniques employed in the construction are related to those used in proofs of existence of inner functions.
Mathematics Subject Classification ID: 32H35
Mathematics Subject Classification ID: 32T99
zbMATH DE Number: 4179769
zbMATH Keywords: weakly pseudoconvex domains
zbMATH Keywords: peak functions
zbMATH Keywords: proper holomorphic mapping
zbMATH Keywords: inner functions
author: Alan Noell
author: Berit Stensones Henriksen
reviewed by: M. Klimek
MaRDI profile type: Publication
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full work available at URL: s0012-7094-90-06014-4
OpenAlex ID: W2068546287
description: scientific article; zbMATH DE number 4179769