On Fridman invariants and generalized squeezing functions

TL;DR

This paper introduces generalized squeezing functions and Fridman invariants, exploring their properties and relationships, including a comparison via the quotient invariant, advancing understanding in complex analysis.

Contribution

It presents the concept of generalized squeezing functions and analyzes their properties and connections with Fridman invariants, providing new insights into their interplay.

Findings

Generalized squeezing functions are defined and their basic properties are studied.

Comparison between Fridman invariants and generalized squeezing functions is established.

The quotient invariant is used to relate these two invariants.

Abstract

In this paper, we introduce the notion of generalized squeezing function and study the basic properties of generalized squeezing functions and Fridman invariants. We also study the comparison of these two invariants, in terms of the so-called quotient invariant.