A note on plurisubharmonic defining functions in C^2
复变函数
2011-10-10 v1
摘要
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.
引用
@article{arxiv.math/0609105,
title = {A note on plurisubharmonic defining functions in C^2},
author = {John Erik Fornaess and Anne-Katrin Herbig},
journal= {arXiv preprint arXiv:math/0609105},
year = {2011}
}
备注
11 pages