Bounded Plurisubharmonic Exhaustion Functions for Lipschitz Pseudoconvex Domains in \mathbbCPⁿ

2015/10/13 by Phillip S. Harrington, Harrington, Phillip S.
Mathematics · #32T35 #32U10 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1510.03737

openalex publication_date 2015/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we use Takeuchi's Theorem to show that for every Lipschitz pseudoconvex domain Ω in \mathbbCPⁿ there exists a Lipschitz defining function ρ and an exponent 0

Related

• Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains
• Smooth plurisubharmonic exhaustion functions on pseudo-convex domains in infinite dimensions
• Plurisubharmonic exhaustion functions and almost complex Stein structures
• On regularization of plurisubharmonic functions near boundary points
• On plurisubharmonic defining functions for pseudoconvex domains in ℂ²