Rigid characterizations of pseudoconvex domains

We prove that an open set \(D\) in \(\C^n\) is pseudoconvex if and only if for any \(z\in D\) the largest balanced domain centered at \(z\) and contained in \(D\) is pseudoconvex, and consider analogues of that characterization in the linearly convex case.

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Bibliographic Details
Published in	arXiv.org
Main Authors	Nikolov, Nikolai, Thomas, Pascal J
Format	Paper
Language	English
Published	Ithaca Cornell University Library, arXiv.org 16.03.2011
Subjects	Domains
Online Access	Get full text

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Summary:	We prove that an open set \(D\) in \(\C^n\) is pseudoconvex if and only if for any \(z\in D\) the largest balanced domain centered at \(z\) and contained in \(D\) is pseudoconvex, and consider analogues of that characterization in the linearly convex case.
ISSN:	2331-8422