Behavior of the squeezing function near h-extendible boundary points

Abstract

It is shown that if the squeezing function tends to one at an h-extendible boundary point of a ${\mathcal{C}}^{\infty }$-smooth, bounded pseudoconvex domain, then the point is strictly pseudoconvex.

Proc. Amer. Math. Soc. (to appear)

References in corpus (1)

• A non-strictly pseudoconvex domain for which the squeezing function tends to one towards the boundary

Cited by in corpus (7)

• On the squeezing function and Fridman invariants
• Some properties of $h$-extendible domains in ${\mathbb{C}}^{n+1}$
• Boundary behaviour of the Carathéodory and Kobayashi-Eisenman volume elements
• Fridman's invariant, squeezing functions, and exhausting domains
• A comparison of two biholomorphic invariants
• Geometric estimates and comparability of Eisenman volume elements with the Bergman kernel on (C-)convex domains
• A note on the boundary behaviour of the squeezing function and Fridman invariant