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

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

2007-10-22

arxiv.org/abs/0710.4165v2

Math. Ann. 342 (2008), no. 4, 749--772

Mathematics

Complex Variables

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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