%0 Journal Article %T A note on plurisubharmonic defining functions in $\mathbb{C}^n$ %A J. E. Fornaess %A A. -K. Herbig %J Mathematics %D 2007 %I arXiv %X 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. %U http://arxiv.org/abs/0710.4165v2