Traces of Runge domains on analytic subsets
type: Item
instance of: scholarly article
title: Traces of Runge domains on analytic subsets
zbMATH Open document ID: 0747.32005
DOI: 10.1007/BF01459259
published in: Mathematische Annalen
publication date: 1992-06-26T00:00:00Z
full work available at URL: https://eudml.org/doc/164832
review text: The main result of the paper is the following Theorem 3: Let \(A\subset\mathbb{C}^ n\) be a closed analytic subset, \(D\subset A\) a Runge open subset and \(K\subset\mathbb{C}^ n\) a holomorphically convex compact set such that \(K\cap A\subset D\). Then there exists a Runge open subset \(\tilde D\) in \(\mathbb{C}^ n\) with \(\tilde D\cap A=D\) and \(K\subset\tilde D\). As a consequence of this statement the author obtains an extension property of plurisubharmonic functions.
Mathematics Subject Classification ID: 32B15
Mathematics Subject Classification ID: 32U05
Mathematics Subject Classification ID: 32E05
zbMATH DE Number: 24911
zbMATH Keywords: Runge domain
zbMATH Keywords: holomorphically convex
zbMATH Keywords: compact set
author: Mihnea Colţoiu
reviewed by: P. Z. Agranovich
MaRDI profile type: Publication
cites work: Q3714374
cites work: Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
cites work: Holomorphic convexity of spaces of analytic cycles
description: scientific article; zbMATH DE number 24911