IUMJ

Title: Rigid characterizations of pseudoconvex domains

Authors: Nikolai Nikolov and Pascal J. Thomas

Issue: Volume 61 (2012), Issue 3, 1313-1323

Abstract:

We prove that an open set $D$ in $\mathbb{C}^n$ 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 we consider analogues of that characterization in the linearly convex case.