Properties of squeezing functions on h-extendible domains

2025/09/13 by Ninh Van Thu, Van Thu, Ninh
Mathematics · #32F45 #32H02 #Complex Variables (math.CV) #FOS: Mathematics #Primary 32T25 #Rings, Modules, and Algebras #Secondary 32M05

paper · pdf · doi:10.48550/arxiv.2509.10774

openalex publication_date 2025/09/13 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28

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 ℂⁿ⁺¹. Second, we show that the squeezing function approaches 1 along certain sequences converging to pseudoconvex boundary points of finite type, including uniformly Λ-tangential and spherically (1)/(2m)-tangential convergence patterns.

Citations

• Pinchuk scaling method on domains with non-compact automorphism groups
• On the generalized squeezing functions and Fridman invariants of special domains
• Exhaustion of hyperbolic complex manifolds and relations to the squeezing function
• A new family of holomorphic homogeneous regular domains and some questions on the squeezing function
• Boundary behavior of the squeezing function near a global extreme point
• A comparison of two biholomorphic invariants
• On boundary points at which the squeezing function tends to one
• A gap theorem for the complex geometry of convex domains
• Positivity and completeness of invariant metrics
• On the uniform squeezing property and the squeezing function
• Properties of squeezing functions and global transformations of bounded domains
• On Some Properties of Squeezing Functions of Bounded Domains

Related

• Properties of squeezing functions and global transformations of bounded domains
• Properties of squeezing functions and geometry of bounded domains
• Some properties of h-extendible domains in \mathbb Cⁿ⁺¹
• On Some Properties of Squeezing Functions of Bounded Domains
• On the boundary behaviour of the squeezing function near linearly convex boundary points