Properties of squeezing functions on $h$-extendible domains

Ninh Van Thu

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arXiv · 2509.10774

Properties of squeezing functions on $h$-extendible domains

Ninh Van Thu

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Abstract

The purpose of this article is twofold. First, we prove that the squeezing function approaches 1 near strongly pseudoconvex boundary points of bounded domains in $\mathbb{C}^{n+1}$. Second, we show that the squeezing function approaches 1 along certain sequences converging to pseudoconvex boundary points of finite type, including uniformly $\Lambda$-tangential and spherically $\frac{1}{2m}$-tangential convergence patterns.

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Ninh Van Thu. 2025-09-13. Properties of squeezing functions on $h$-extendible domains. https://arxiv.org/abs/2509.10774

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