A note on squeezing function and its generalizations

TL;DR

This paper explores the relationship between the squeezing function and its generalizations, providing an alternative method to compute the generalized squeezing function for complex ellipsoids based on the unit ball.

Contribution

It introduces a new approach to express the generalized squeezing function for complex ellipsoids using the relation with the standard squeezing function.

Findings

Established a relation between squeezing function and its generalizations.

Derived an explicit expression for the generalized squeezing function of complex ellipsoids.

Abstract

This note investigates the relation between squeezing function and its generalizations. Using the relation obtained, we present an alternate method to find expression of generalized squeezing function of unit ball corresponding to the generalized complex ellipsoids.