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

J. E. Fornaess; A. -K. Herbig

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arXiv · 0710.4165

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

J. E. Fornaess·A. -K. Herbig

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Abstract

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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BibTeX RIS

J. E. Fornaess, A. -K. Herbig. 2007-10-22. A note on plurisubharmonic defining functions in $\mathbb{C}^n$. https://arxiv.org/abs/0710.4165

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