On boundary points at which the squeezing function tends to one

2016/11/25 by Seungro Joo, Joo, Seungro, Kang‐Tae Kim +1 · 1 citation
Mathematics · #32H02 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1611.08356

openalex publication_date 2016/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

J. E. Fornaess has posed the question whether the boundary point of smoothly bounded pseudoconvex domain is strictly pseudoconvex, if the asymptotic limit of the squeezing function is 1. The purpose of this paper is to give an affirmative answer when the domain is in C² with smooth boundary of finite type in the sense of D'Angelo.

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