A note on plurisubharmonic defining functions in C^2

Details A note on plurisubharmonic defining functions in C^2 A note on plurisubharmonic defining functions in C^2

2006-09-04

arxiv.org/abs/math/0609105v1

Math. Z. 257 (2007), no. 4, 769--781

Mathematics

Complex Variables

11 pages

Scientific paper

Let D be a smoothly bounded domain in C^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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