Asymptotic characterizations of strong pseudoconvexity on pseudoconvex domains of finite type in ℂ²

2024/01/02 by Jinsong Liu, Liu, Jinsong, Xingsi Pu +3 · 1 citation
Mathematics · #Advanced Banach Space Theory #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2401.01170

openalex publication_date 2024/01/02 · openalex created_date 2024/01/04 · openalex updated_date 2026/07/28

Abstract

In this paper, we provide some characterizations of strong pseudoconvexity by the boundary behavior of intrinsic invariants for smoothly bounded pseudoconvex domains of finite type in ℂ². As a consequence, if such domain is biholomorphically equivalent to a quotient of the unit ball, then it is strongly pseudoconvex.

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