Boundary behavior of the squeezing functions of $\mathbb{C}$-convex domains and plane domains

Abstract

It is shown that any non-degenerate $\mathbb{C}$-convex domain in ${\mathbb{C}}^n$ is uniformly squeezing. It is also found the precise behavior of the squeezing function near a Dini-smooth boundary point of a plane domain.

Int. J. Math. (to appear)

References in corpus (1)

• Estimates of the Kobayashi and quasi-hyperbolic distances

Cited by in corpus (6)

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• Explicit universal bounds for squeezing functions of ($\mathbb{C}$-)convex domains
• An analogue of the squeezing function for projective maps