单位球中无穷小生成元的边界行为
复变函数
2012-09-25 v2 动力系统
摘要
我们证明了C^n中单位球上无穷小生成元的Julia-Wolff-Caratheodory型定理。此外,我们研究了边界处的jet展开,并给出了此类jet使得无穷小生成元生成球自同构群的充分必要条件。
引用
@article{arxiv.1203.1839,
title = {Boundary behavior of infinitesimal generators in the unit ball},
author = {Filippo Bracci and David Shoikhet},
journal= {arXiv preprint arXiv:1203.1839},
year = {2012}
}
备注
24 pages. Version 2: Theorem 1.2 has been improved and an error in the proof of Theorem 1.3 has been corrected