A Note on Plurisubharmonic Defining Functions in C

نویسنده

  • J. E. FORNÆSS
چکیده

Let Ω ⊂⊂ C n , n ≥ 3, be a smoothly bounded domain. Suppose that Ω admits a smooth defining function which is plurisubharmonic on the boundary of Ω. Then the Diederich-Fornaess exponent can be chosen arbitrarily close to 1, and the closure of Ω admits a Stein neighborhood basis.

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تاریخ انتشار 2007