The Order of Plurisubharmonicity on Pseudoconvex Domains with Lipschitz Boundaries
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چکیده
Let Ω ⊂⊂ Cn be a bounded pseudoconvex domain with Lipschitz boundary. Diederich and Fornaess have shown that when the boundary of Ω is C2, there exists a constant 0 < η < 1 and a defining function ρ for Ω such that −(−ρ)η is a plurisubharmonic function on Ω. In this paper, we show that the result of Diederich and Fornaess still holds when the boundary is only Lipschitz.
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تاریخ انتشار 2008