Estimates for the squeezing function near strictly pseudoconvex boundary points with applications

TL;DR

This paper extends estimates of the squeezing function near strictly pseudoconvex boundary points, leading to precise descriptions of boundary behavior for invariant metrics and Bergman curvatures in complex domains.

Contribution

It provides new sharp boundary estimates for the squeezing function and applies these to analyze invariant metrics and Bergman curvatures.

Findings

Sharp boundary behavior of invariant metrics established.

Precise estimates for Bergman curvatures derived.

Extension of previous squeezing function estimates achieved.

Abstract

An extension of the estimates for the squeezing function of strictly pseudoconvex domains obtained recently by J. E. Forn\ae ss and E. Wold in \cite{FW1} is applied to derive a sharp boundary behaviour of invariant metrics and Bergman curvatures.