五块域全纯自映射的刚性
复变函数
2014-12-15 v2
摘要
五块域（pentablock）是定义在对称化双圆盘上的 Hartogs 域。该域是一个有界非齐次伪凸域，且不具有 边界。近期，Agler-Lykova-Young 构造了五块域全纯自同构群的一个特殊子群，而 Kosi\'nski 完整描述了五块域的全纯自同构群。本文旨在证明五块域的任意真全纯自映射必为自同构。
引用
@article{arxiv.1408.3306,
title = {Rigidity of Proper Holomorphic Self-mappings of the Pentablock},
author = {Guicong Su and Zhenhan Tu and Lei Wang},
journal= {arXiv preprint arXiv:1408.3306},
year = {2014}
}
备注
10 pages. To appear in Journal of Mathematical Analysis and Applications, arXiv admin note: text overlap with arXiv:1403.1960 and arXiv:1403.5214 by other authors