A note on plurisubharmonic defining functions in C^2

Abstract

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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• Local Plurisubharmonic Defining Functions on the Boundary