A note on plurisubharmonic defining functions in $\mathbb{C}^n$

Mathematics – Complex Variables

Scientific paper

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17 pages

Scientific paper

Let D be a smoothly bounded domain in complex space of dimension larger than
2. Suppose that D admits a smooth defining function which is plurisubharmonic
on the boundary of D. Then the Diederich-Fornaess exponent can be chosen
arbitrarily close to 1, and the closure of D admits a Stein neighborhood basis.

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