Jensen measures and unbounded \(B\)-regular domains in \(\mathbb C^n\)
type: Item
instance of: scholarly article
title: Jensen measures and unbounded \(B\)-regular domains in \(\mathbb C^n\)
zbMATH Open document ID: 1156.32020
author: Dau Hoang Hung
author: Nguyen Quang Dieu
publication date: 2008-07-24T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/10352
review text: The main result of the paper is the following theorem. Let \(\Omega\subset\mathbb C^n\) be an unbounded convex \(\mathcal C^1\)-smooth domain. Assume that for every \(z\in\partial\Omega\) there exists a real hyperplane \(L_z\subset T_z\partial\Omega\) such that \((z+L_z)\cap\partial\Omega=\{z\}\). Then \(\Omega\) is \(B\)-regular. In the case where \(\Omega\) is a strictly convex \(\mathcal C^2\)-smooth domain, the above theorem generalizes a result by \textit{A.~Simioniuc} and \textit{G.~Tomassini} [Manuscr. Math. 126, 73--97 (2008; Zbl 1144.32019)].
reviewed by: Marek Jarnicki
Mathematics Subject Classification ID: 32T27
zbMATH DE Number: 5303679
zbMATH Keywords: plurisubharmonic function
zbMATH Keywords: Dirichlet-Bremermann problem
zbMATH Keywords: \(B\)-regular domain
MaRDI profile type: Publication
OpenAlex ID: W2391768004
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DOI: 10.5802/AIF.2388
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 5303679