Rigid characterizations of pseudoconvex domains Nikolai NikolovPacal Thomas 32F17pseudoconvex domain(weakly) linearly convex domainconvex domain 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. Indiana University Mathematics Journal 2012 text pdf 10.1512/iumj.2012.61.4657 10.1512/iumj.2012.61.4657 en Indiana Univ. Math. J. 61 (2012) 1313 - 1323 state-of-the-art mathematics http://iumj.org/access/