Explicit universal bounds for squeezing functions of (ℂ-)convex domains

Abstract

In this paper, we prove two separate lower bounds — one for nondegenerate convex domains and the other for nondegenerate $ℂ$-convex (but not necessarily convex) domains — for the squeezing function that hold true for all domains in ${ℂ}^n$, for a fixed $n\ge 2$, of the stated class. We provide explicit expressions in terms of $n$ for these estimates.