Rigid characterizations of pseudoconvex domains

Nikolai Nikolov; Pascal J. Thomas

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arXiv · 1012.6022

Rigid characterizations of pseudoconvex domains

Nikolai Nikolov·Pascal J. Thomas

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Abstract

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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BibTeX RIS

Nikolai Nikolov, Pascal J. Thomas. 2011-03-16. Rigid characterizations of pseudoconvex domains. https://arxiv.org/abs/1012.6022

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