On the structure of Fatou domains

doi:10.1007/s11425-008-0056-5

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	On the structure of Fatou domains
	Cui GuiZhen; Peng WenJuan; GuiZhen Cui; WenJuan Peng
刊名	SCIENCE IN CHINA SERIES A-MATHEMATICS
	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
出版者	SCIENCE PRESS
WOS记录号	WOS:000256964700002
内容类型	期刊论文
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.