On the uniform squeezing property and the squeezing function

Abstract

We describe the boundary behaviors of the squeezing functions for all bounded convex domains in ${\mathbb{C}}^n$ and bounded domains with a $C^2$ strongly convex boundary point.

17 pages, 7 figures

Cited by in corpus (6)

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• On boundary points at which the squeezing function tends to one
• Some properties of $h$-extendible domains in ${\mathbb{C}}^{n+1}$
• Fridman's invariant, squeezing functions, and exhausting domains
• A note on the boundary behaviour of the squeezing function and Fridman invariant
• Exhaustion of hyperbolic complex manifolds and relations to the squeezing function