Every bounded pseudoconvex domain with Hölder boundary is hyperconvex

2020/04/21 by Bo-Yong Chen, Chen, Bo-Yong
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2004.09696

openalex publication_date 2020/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every bounded pseudoconvex domain with Hölder boundary in \mathbb Cⁿ is hyperconvex.

Related

• On the log-hyperconvexity index of pseudoconvex Holder domains in ℂⁿ
• The union problem for domains with partial pseudoconvex boundaries
• Asymptotic characterizations of strong pseudoconvexity on pseudoconvex domains of finite type in ℂ²
• Some properties of h-extendible domains in \mathbb Cⁿ⁺¹
• On Bergman completeness of pseudoconvex Reinhardt domains