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TEICHMÜLLER: 作品数：65被引量：34H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：沈玉良漆毅刘立新范金华黄华鹰更多>>; 相关机构：苏州大学北京大学复旦大学北京航空航天大学更多>>; 相关期刊：《理论数学》《Journal of Mathematical Research with Applications》《Science China Mathematics》《中山大学学报（自然科学版）（中英文）》更多>>; 相关基金：国家自然科学基金广东省自然科学基金美国国家科学基金中国博士后科学基金更多>>

ON Q_(K)(p)-TEICHMüLLER SPACES: 《Acta Mathematica Scientia》2024年第6期2283-2295,共13页Yi QI Yan WU; supported by the National Natural Science Foundation of China(12271017);supported by the Natural Science Foundation of Shandong Province(ZR2022MA018);by the National Natural Science Foundation of China(12171221)。; The Q_(K)(p)-Teichmüller space is introduced and studied in this paper.Various characterizations of the Q_(K)(p)-Teichmüller space and the Q_(K,0)(p)-Teichmüller space are given.Their Schwarzian derivative model an...; 关键词：Q_(K)(p q)spaces universal Teichmüller space Schwarzian derivative pre-logarithmic derivative Carleson measure

The Faber Operator Acting on BMOA,BMO-Teichmüller Space and Chord-arc Curves: 《Acta Mathematica Sinica,English Series》2024年第10期2359-2387,共29页Tai Liang LIU Yu Liang SHEN; Supported by NSFC(Grant No.12171346)。; After reviewing Grunsky operator and Faber operator acting on Dirichlet space,we discuss the boundedness of Faber operator on BMOA,a new subject which turns out to be closely related to the BMO theory of the universal...; 关键词：Faber operator quasiconformal mapping quasicircle BMO-Teichmüller space chord-arc curve Grunsky operator BMO BMOA Carleson measure Cauchy integral

T<sub>p</sub>空间中小预对数导数模型: 《理论数学》2024年第4期416-421,共6页李梦雪何腾松; 在研究万有Teichmüller空间过程中,通过Schwarzian导数,能够得到前Schwarzian导数(或对数导数),从而定义小预对数导数模型,本文主要是在p次可积Teichmüller空间中得到小预对数导数模型中的一个连通分量T^P,b0。; 关键词：万有TEICHMÜLLER空间 p次可积Teichmüller空间对数导数小预对数导数模型

Local rigidity of the Teichmüller space with the Thurston metric: 《Science China Mathematics》2023年第8期1751-1766,共16页Huiping Pan; supported by National Natural Science Foundation of China (Grant No.11901241).; We show that every R-linear surjective isometry between the cotangent spaces to the Teichmüller space equipped with the Thurston norm is induced by some isometry between the underlying hyperbolic surfaces.This is an ...; 关键词：Teichmüller space Thurston metric Royden's theorem curve complex RIGIDITY

依赖参数的无穷小Strebel点: 《数学进展》2022年第6期1145-1151,共7页黄华鹰; Supported by NSFC(No.11771266)。; 给定单位圆Δ内一个有界可测函数μ(z),且∥μ∥∞=k∈(0,1/3),本文考察μ_(t)(z)=tμ(z)的Teichmüller等价类[μ_(t)].我们找到了一族全纯依赖于复参数t的有界可测函数ν_(t)∈[μ_(t)],使得ν_(t)(z)的无穷小Teichmüller等价类[ν_(...; 关键词：TEICHMÜLLER空间拟共形映射 Strebel点无穷小Strebel点全纯运动

关于可测叶状结构空间上两种线性结构的刚性: 《中山大学学报（自然科学版）（中英文）》2022年第5期144-149,共6页江蔓蔓; 国家自然科学基金(11771456,11901130)。; 通过黎曼曲面的双曲长度函数与极值长度函数,将可测叶状结构空间实现为Teichmüller空间的余切空间,从而诱导了可测叶状结构空间上的两种线性结构。证明了这两种线性结构都具有刚性性质,也即不同的黎曼曲面诱导不同的线性结构。; 关键词：TEICHMÜLLER空间可测叶状结构线性结构双曲长度极值长度

Bloch函数到BMOA空间的距离: 《数学学报（中文版）》2022年第4期723-732,共10页胡光明刘军明漆毅唐树安; 国家自然科学基金资助项目(11801094,11871085,11601100);贵州省自然科学基金([2017]7337);金陵科技学院博士启动基金(jit-b-202011); 本文利用高阶导数形式给出了Bloch函数到BMOA空间的距离刻画.这些结论推广了由Peter Jones和赵如汉等人所得到的一阶导数形式的距离公式.作为应用,我们给出了关于小Teichmüller空间的一些等价刻画.; 关键词：BMOA空间小Bloch空间小Teichmüller空间

On the Compactness of Grunsky Differential Operators: 《Chinese Annals of Mathematics,Series B》2020年第4期559-572,共14页Li WU Yuliang SHEN; the National Natural Science Foundation of China(No.11631010)。; Grunsky operators play an important role in classical geometric function theory and in the study of Teichmüller spaces.The Grunsky map is known to be holomorphic on the universal Teichmüller space.In this paper the ...; 关键词：Universal Teichmüller space Beltrami coefficient Grunsky operator Compact operator p-Schatten class operator Essential norm

On F(p,s)-Teichmüller Space: 《Journal of Mathematical Research with Applications》2020年第4期381-386,共6页Shu-an TANG; Supported by the National Natural Science Foundation of China(Grant No.11601100);the Foundation of Guizhou Provincial Science and Technology Department(Grant Nos.20177337,20175726)。; In this paper,we determine the differential of the Bers projection at the origin in the F(p,s)-Teichmüller space.; 关键词：quasiconformal mapping F(p s)-Teichmüller space Bers projection

Isometric Embeddings of Subsets of Boundaries of Teichmüller Spaces of Compact Hyperbolic Riemann Surfaces: 《Acta Mathematica Sinica,English Series》2020年第5期605-619,共15页Guang Ming HU Yi QI; Supported by National Natural Science Foundation of China(Grant Nos.11871085,11371045)。; It is known that every finitely unbranched holomorphic covering π:S→S of a compact Riemann surface S with genus g≥2 induces an isometric embedding Φπ:Teich(S)→Teich(S).By the mutual relations between Strebel ray...; 关键词：TEICHMÜLLER SPACE AUGMENTED TEICHMÜLLER SPACE Strebel ray Busemann points

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