边界多次极包的特征
复变函数
2015-12-08 v3
摘要
我们给出边界相对极值函数的一些基本性质，并讨论所谓的边界多次极集与边界多次极包。我们证明对于B正则域，边界多次极包在域的边界上总是平凡的，并给出Zeriahi关于多次极集完备性定理的一个“边界版本”。
引用
@article{arxiv.1505.04917,
title = {Characterizations of boundary pluripolar Hulls},
author = {Ibrahim K. Djire and Jan Wiegerinck},
journal= {arXiv preprint arXiv:1505.04917},
year = {2015}
}
备注
9 pages, In this version some small changes were made and a few typo's were corrected. Version 3 has 10 pages. Section 2 has been rewritten. It now includes observations about different versions of the boundary extremal function as introduced by Sadullaev. We removed superfluous assumptions in some of the statements