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国家自然科学基金(10771153): 作品数：12被引量：4H指数：1; 导出分析报告; 相关作者：沈玉良刘迎春王敏翟国强胡韵更多>>; 相关机构：苏州大学中国人民大学更多>>; 相关期刊：《数学年刊（A辑）》《Acta Mathematica Sinica,English Series》《Science China Mathematics》《苏州大学学报（自然科学版）》更多>>; 相关主题：TEICHMÜLLERSPACESPACESMAPPINGHOLOMORPHIC更多>>; 相关领域：理学建筑科学天文地球更多>>

Teichmüller spaces for pointed Fuchsian groups: 《Science China Mathematics》2010年第8期2031-2038,共8页SUN MingFeng & SHEN YuLiang Department of Mathematics,Soochow University,Suzhou 215006,China; supported by the Program for New Century Excellent Talents in University(Grant No.06-0504);National Natural Science Foundation of China (Grant No.10771153); Let T(G) be the Teichmüller space of a Fuchsian group G and T(G) be the pointed Teichmüller space of a corresponding pointed Fuchsian group G.We will discuss the existence of holomorphic sections of the projection f...; 关键词：Fuchsian GROUP pointed Fuchsian GROUP TEICHMÜLLER SPACE HOLOMORPHIC SECTION

A note on extremal quasi-conformal mappings被引量：1: 《Science China Mathematics》2010年第1期63-70,共8页LI ZhongSchool of Mathematical Sciences,Peking University,Beijing 100871,China; supported by National Natural Science Foundation of China (Grant No.10771153); An extremal quasi-conformal mapping f of a domain D is said to be of non-landslide type if the set Ef(δ):= {z∈D:|μf(z)|≤||μ|| ∞ -δ} has no interior points for any δ > 0. In this paper,we construct a quasi-c...; 关键词：quasi-conformal MAPPINGS EXTREMAL quasi-conformal MAPPINGS LOCALLY EXTREMAL quasi-conformal MAPPINGS

On Holomorphic Sections in Teichmiiller Spaces: 《Acta Mathematica Sinica,English Series》2009年第12期2023-2034,共12页Ming Feng SUN Yu Liang SHEN; Supported by Program for New Century Excellent Talents in University (Grant No.NCET-06-0504);National Natural Science Foundation of China (Grant No.10771153); It is proved that, for any elementary torsion free Fuchsian group F, the natural projection from the Teichmiiller curve V（F） to the Teichmiiller space T（F） has no holomorphic section.; 关键词：Teichmuller space Bers fiber space Teichmiiller curve holomorphic section punctureforgetting mapping

Faber polynomials with applications to univalent functions with quasiconformal extensions被引量：2: 《Science China Mathematics》2009年第10期2121-2131,共11页SHEN YuLiang Department of Mathematics, Soochow University, Suzhou 215006, China; supported by the Program for New Century Excellent Talents in University (Grant No. 06-0504);National Natural Science Foundation of China (Grant No. 10771153); We obtain some convergence properties concerning Faber polynomials and apply them to studying univalent functions with quasiconformal extensions. In particular, by introducing an operator on the usual l2 space, we obt...; 关键词：univalent function quasiconformal mapping Faber polynomial Grunsky operator 30C62 30C55 47B37

On Strebel points被引量：1: 《Science China Mathematics》2009年第9期2019-2026,共8页HU Yun SHEN YuLiang; supported by the Program for New Century Excellent Talents in University (Grant No.NCET-06-0504);National Natural Science Foundation of China (Grant No.10771153); Any Beltrami coefficient μ on a hyperbolic Riemann surface X of infinite type represents a point [μ]T in the Teichmüller space T (X) and a point [μ]B in the tangent space of T (X) at the base point as well. The pa...; 关键词：Teichmüller space Strebel point infinitesimal Strebel point 32G15 30C62 30F60

具有拟共形形变延拓的解析函数及其Grunsky型不等式: 《苏州大学学报（自然科学版）》2009年第3期13-15,共3页刘迎春沈玉良; 国家自然科学基金资助项目(10771153); 定义了单位圆外一个解析函数的Grunsky系数,并讨论了当该解析函数可以拟共形形变延拓到整个平面时这些Grunsky系数的性质.; 关键词：拟共形形变 Grunsky系数 ZYGMUND函数

Some Remarks on Teichmüller Spaces and Modular Groups: 《Acta Mathematica Sinica,English Series》2009年第8期1289-1296,共8页Yun HU; supported by the National Natural Science Foundation of China (Grant No. 10771153); We study the fixed point sets of subgroups of modular groups acting on Teichmiiller spaces.; 关键词：Teichmiiller space modular group allowable mapping

关于拟圆上双曲有界全纯函数的积分表示: 《苏州大学学报（自然科学版）》2009年第2期12-14,共3页翟国强; 国家自然科学基金资助项目(10771153); Bers曾给出了一个边界经过无穷远点的拟图上双曲有界全纯函数的积分表示.本文去掉了边界经过无穷远点的限制,利用共形自然反射给出了一般拟圆上双曲有界全纯函数的积分表示.; 关键词：全纯函数拟共形反射自然共形反射

Strebel点: 《中国科学（A辑）》2009年第3期299-305,共7页胡韵沈玉良; 新世纪优秀人才支持计划(编号:NCET-06-0504);国家自然科学基金(批准号:10771153)资助项目; 无限型Riemann曲面X上的一个Beltrami系数μ确定了Teichmüller空间T(X)中的一个点[μ]T,同时也确定了T(X)在基点处的切空间中的一个点[μ]B.本文讨论[μ]T是一个Strebel点和[μ]B是一个无穷小Strebel点的等价性问题.; 关键词：TEICHMÜLLER空间 Strebel点无穷小Strebel点

一个算子的全纯性: 《苏州大学学报（自然科学版）》2009年第1期20-24,共5页王敏; 国家自然科学基金资助项目(10771153); 对于扩充复平面C上的一个单连通区域D以及1≤p<+∞,讨论了D上的两个全纯函数空间Ap(D)和Bp(D),并证明了算子Tφ=φ′-12φ2:Ap(D)→Bp(D)是全纯的.; 关键词：全纯函数全纯算子全纯性

国家自然科学基金(10771153)