Rigid characterizations of pseudoconvex domains

Details Rigid characterizations of pseudoconvex domains Rigid characterizations of pseudoconvex domains

2010-12-29

arxiv.org/abs/1012.6022v3

Mathematics

Complex Variables

v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are changed

Scientific paper

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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