区域的魔术函数与自同构
复变函数
2008-07-15 v2 泛函分析
摘要
我们引入了d维复空间中一般区域的魔术函数概念,并证明给定区域的魔术函数集是一个内在的复几何对象。我们确定了对称双盘G的魔术函数集,从而找到了G的所有自同构以及G上Carathéodory距离的公式。
引用
@article{arxiv.0709.0096,
title = {The magic functions and automorphisms of a domain},
author = {J. Agler and N. J. Young},
journal= {arXiv preprint arXiv:0709.0096},
year = {2008}
}
备注
17 pages. This version contains an additional proposition (2.11) and some minor corrections, notably to Propositions 3.6 and 3.7