2 problems

Let $D\subset\subset\mathbb{C}^n$ with $n>1$ be a strongly pseudoconvex domain with smooth boundary. The squeezing function $s_D$ measures how closely $D$ can be biholomorphically…

Let $D$ be a contractible domain, and consider the extremal maps defining its squeezing function. Carathéodory-map conjecture. The extremal maps of $D$ are given by Carathéodory ma…