On the squeezing function and Fridman invariants

TL;DR

This paper explores the relationship between the squeezing function and Fridman invariants in complex domains, establishing localization properties and extending boundary behavior results.

Contribution

It clarifies the connection between squeezing functions and Fridman invariants and extends known boundary behavior results through localization properties.

Findings

Established the relationship between squeezing function and Fridman invariants.

Derived localization properties of these functions.

Extended known boundary behavior results.

Abstract

For a domain $D \subset \mathbb C^n$, the relationship between the squeezing function and the Fridman invariants is clarified. Furthermore, localization properties of these functions are obtained. As applications, some known results concerning their boundary behavior are extended.