On the structure of Fatou domains
文献类型：期刊论文
| 作者 | Cui GuiZhen; Peng WenJuan; GuiZhen Cui ; WenJuan Peng
|
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2008-07-01 |
| 卷号 | 51期号:7页码:1167-1186 |
| 关键词 | quasi-conformal surgery puzzles quasi-conformally conjugate invariant line fields |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-008-0056-5 |
| 英文摘要 | Let U be a multiply-connected fixed attracting Fatou domain of a rational map f. We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that (f,U) and (g,V) are holomorphically conjugate, and each non-trivial Julia component of g is a quasi-circle which bounds an eventually superattracting Fatou domain of g containing at most one postcritical point of g. Moreover, g is unique up to a holomorphic conjugation. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000256964700002 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6196]  |
| 专题 | 数学所 |
| 通讯作者 | Peng WenJuan |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cui GuiZhen,Peng WenJuan,GuiZhen Cui,et al. On the structure of Fatou domains[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2008,51(7):1167-1186. |
| APA | Cui GuiZhen,Peng WenJuan,GuiZhen Cui,&WenJuan Peng.(2008).On the structure of Fatou domains.SCIENCE IN CHINA SERIES A-MATHEMATICS,51(7),1167-1186. |
| MLA | Cui GuiZhen,et al."On the structure of Fatou domains".SCIENCE IN CHINA SERIES A-MATHEMATICS 51.7(2008):1167-1186. |
入库方式： OAI收割
来源：数学与系统科学研究院
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