A note on plurisubharmonic defining functions in $\mathbb{C}^n$
Complex Variables
2011-10-10 v2
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.
Cite
@article{arxiv.0710.4165,
title = {A note on plurisubharmonic defining functions in $\mathbb{C}^n$},
author = {J. E. Fornaess and A. -K. Herbig},
journal= {arXiv preprint arXiv:0710.4165},
year = {2011}
}
Comments
17 pages