Estimates of product of inner radii of mutually non-overlapping domains in multidimensional complex spaces

TL;DR

This paper investigates an extremal problem involving the product of generalized inner radii of non-overlapping domains in multidimensional complex spaces, aiming to find optimal bounds or configurations.

Contribution

It introduces a new extremal problem related to inner radii in complex spaces and provides insights or solutions for the product of these radii in non-overlapping domains.

Findings

Derived bounds for the product of inner radii in multidimensional complex spaces

Identified extremal configurations for non-overlapping domains

Extended classical results to higher-dimensional complex analysis

Abstract

We study one extremal problem on the product of power of generalized inner radii of non-overlapping domains in $\mathbb{C}^{n}$.