The Order of Plurisubharmonicity on Pseudoconvex Domains with Lipschitz Boundaries

• Autores: Phillip S. Harrington
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 2-3, 2008, págs. 485-490
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n3.a8
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• Resumen

  • Let $\Omega\subset\subset\mathbb{C}^n$ be a bounded pseudoconvex domain with Lipschitz boundary. Diederich and Fornaess have shown that when the boundary of $\Omega$ is $C^2$, there exists a constant $0<\eta<1$ and a defining function $\rho$ for $\Omega$ such that $-(-\rho)^{\eta}$ is a plurisubharmonic function on $\Omega$. In this paper, we show that the result of Diederich and Fornaess still holds when the boundary is only Lipschitz.