EXTREMAL

作品数:132被引量:120H指数:6
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相关领域:理学自动化与计算机技术更多>>
相关作者:魏志强吴英毅赵逸才陈阳舟辛乐更多>>
相关机构:中国科学院大学东南大学浙江大学华南师范大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金北京市自然科学基金更多>>
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Non-degeneracy of Extremal Points
《Chinese Annals of Mathematics,Series B》2015年第1期45-50,共6页Min ZHOU 
supported by the National Natural Science Foundation of China(Nos.11201222,11171146);the Basic Research Program of Jiangsu Province(No.BK2008013);a program of the Priority Academic Program Development of Jiangsu Province
For a family of smooth functions, the author shows that, under certain generic conditions, all extremal(minimal and maximal) points are non-degenerate.
关键词:NON-DEGENERACY Extremal point Generic condition 
On the equivalence of extremal Teichmller mapping被引量:2
《Science China Mathematics》2009年第1期77-86,共10页FAN JinHua1 & CHEN JiXiu2 1 Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China 2 School of Mathematical Sciences, Fudan University, Shanghai 200433, China 
supported by the National Natural Science Foundation of China (Grant No. 10571028)
Let T(△) and B(△) be the Teichmuller space and the infinitesimal Teichmuller space of the unit disk △ respectively. In this paper, we show that [ν]B(△) being an infinitesimal Strebel point does not imply that [ν...
关键词:Teichmuller SPACE INFINITESIMAL Teichmu¨ller SPACE Strebel POINT 
Some Properties of an Operator on L~∞(△)and Its Applications
《Acta Mathematica Sinica,English Series》2007年第10期1909-1914,共6页Na SUN 
Supported by the National Science Foundation of China(Grants No.10171003 and 10231040);the Doctoral Education Program Foundation of China
In this paper, we introduce an operator Hμ(z) on L^∞(△) and obtain some of its properties. Some applications of this operator to the extremal problem of quasiconformal mappings are given. In particular, a suffi...
关键词:NORM Hamilton sequence extremal Beltrami coefficient Strebel point 
VARIABILITY SETS AND HAMILTON SEQUENCES
《Chinese Annals of Mathematics,Series B》2005年第4期543-550,共8页SUN NA WU SHENGJIAN 
Project supported by the National Natural Science Foundation of China (No.10171003, No.10231040) the Doctoral Education Program Foundation of China.
This paper studies extremal quasiconformal mappings. Some properties of the variability set are obtained and the Hamilton sequences which are induced by point shift differentials are also discussed.
关键词:Quasiconformal mapping Point shift differentials Hamilton sequence Extremal mapping 
A class of quasisymmetric mappings with substantial points被引量:1
《Chinese Science Bulletin》2000年第4期313-316,共4页Zhong Li Shengjian Wu Yi Qi 
It is proved that Kq(h)=K0(h) for every h in some class of quasisymmetric mappings of the unit circle with substantial points, where Kq(h):=sup{M(h(Q))/M(Q); Qis a quadrilateral with the domain unit disk} and K0(h) is...
关键词:quasisymmetric MAPPING EXTREMAL MAPPING substantial point. 
A note on point shift differentials
《Science China Mathematics》1999年第5期449-455,共7页李忠 漆毅 
Project supported by the National Natural Science Foundation of China (Grant No. 19531060);the Doctoral Education Program Foundation of China
LetT be the universal Teichmüller space viewed as the set of all normalized quasisymmetric homeomorphism of the unit circleS 1=?Δ. Denote byV h [z 0] the variability set ofz 0 with respect toh∈T. The following is p...
关键词:quasiconformal mapping Teichmüller space extremal mapping 
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