Inequalities on the Inner Radius of Univalency and the Norm of Pre-Schwarzian Derivative

doi:10.1007/s10114-008-6519-3

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	Inequalities on the Inner Radius of Univalency and the Norm of Pre-Schwarzian Derivative
	Cheng, Tao 1,2; Kang, Yue Ming 3; Chen, Ji Xiu 4
	2009
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	25 期号:1 页码:59-64
摘要	In this paper, we get a lower bound of inner radius of univalency of Schwarzian derivative by means of the norm of pre-Schwarzian derivative. Furthermore, we apply the theory of Universal Teichmuller Space to explain its geometric meaning which shows the relationship between the inner radius in Universal Teichmuller Space embedded by Schwarzian derivative and the norm defined in Universal Teichmuller Space embedded by pre-Schwarzian derivative.
关键词	Pre-Schwarzian derivative inner radius of univalency Universal Teichmuller Space
DOI	10.1007/s10114-008-6519-3
语种	英语
资助项目	China Postdoctoral Science Foundation[20080430571] ; Jiangxi Educational Bureau Foundation[GJJ08163]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000261589700007
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9063
专题	中国科学院数学与系统科学研究院
通讯作者	Cheng, Tao
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Jiangxi Normal Univ, Dept Math, Nanchang 330027, Peoples R China 3.Shanghai Inst Foreign Trade, Business Informat Management Sch, Shanghai 201600, Peoples R China 4.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Tao,Kang, Yue Ming,Chen, Ji Xiu. Inequalities on the Inner Radius of Univalency and the Norm of Pre-Schwarzian Derivative[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2009,25(1):59-64.
APA	Cheng, Tao,Kang, Yue Ming,&Chen, Ji Xiu.(2009).Inequalities on the Inner Radius of Univalency and the Norm of Pre-Schwarzian Derivative.ACTA MATHEMATICA SINICA-ENGLISH SERIES,25(1),59-64.
MLA	Cheng, Tao,et al."Inequalities on the Inner Radius of Univalency and the Norm of Pre-Schwarzian Derivative".ACTA MATHEMATICA SINICA-ENGLISH SERIES 25.1(2009):59-64.