Inequalities on the Inner Radius of Univalency and the Norm of Pre-Schwarzian Derivative
文献类型：期刊论文
| 作者 | Cheng, Tao1,2; Kang, Yue Ming3; Chen, Ji Xiu4 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2009 |
| 卷号 | 25期号:1页码:59-64 |
| 关键词 | Pre-Schwarzian derivative inner radius of univalency Universal Teichmuller Space |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-008-6519-3 |
| 英文摘要 | 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. |
| 资助项目 | China Postdoctoral Science Foundation[20080430571] ; Jiangxi Educational Bureau Foundation[GJJ08163] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000261589700007 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9062]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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