A characterization of bounded balanced convex domains in ${\mathbb{C}}^n$

Abstract

In this paper, we investigate the characterization of balanced bounded convex domains in ${\mathbb{C}}^n$ in terms of the squeezing function. As an application, we provide a characterization of the polydisc in ${\mathbb{C}}^n$.

12 pages. Introduction revised and Remark 1.3 added for greater clarity. Typos corrected; proof of Proposition 2.9 extensively rewritten. This version is being posted because v2 mistakenly concatenates two documents. Published in J. Math. Anal. Appl.; DOI of the published article given elsewhere on this page>>