2) Teichmüller mapping
Teichmüller映照
1.
Then, f will be regular Teichmüller mapping if and only if, there exists a sequence of Jordan curves γ n with ∪∞ n=1 G n=D ,and with the property that f｜ γ n has no substantial boundary point for every n .
那么 ,f 为正则 Teichmüller映照的一个充分必要条件是存在一列 Jordan曲线 γn。
2.
The author obtains a necessary and sufficient condition for every Teichmüller mapping g ∈ Q({φ n}) .
得到一类唯一极值 Teichmüller映照 g∈ Q({ φn} )的一个充要条
3.
The criterion is given to a class of uniquely extremal Teichmüller mappings, the assumption of φ n ∈ L 1 loc ( Ω ) in the related results.
给出一类唯一极值 Teichmüller映照的判别法 ,去掉已有的相关结果中关于φ0 ∈ L1loc(Ω )的假设 。
3) extremal mapping
极值映照
1.
In addition to,we also discuss the construction of quasi-convex mappings on the unit ball in a complex Banach space,it provides extremal mappings for the refining estimation of homogeneous exp.
同时,还讨论了复Banach空间单位球上准凸映照的构造,它为准凸映照齐次展开式的精细估计提供极值映照。
2.
Meanwhile,the construction of starlike mappings of order α on the unit ball in a complex Banach space is also discussed,it will provide the extremal mappings for the distortion theorem for some class of starlike mappings of order α.
主要研究了复Banach空间单位球上一类α次星形映照的偏差定理,与此同时也讨论了复Banach空间单位球上α次星形映照的构造,它为某类α次星形映照的偏差定理提供极值映照。
5) uniquely extremal mapping
唯一极值映照
1.
Reich proved that f is the uniquely extremal mapping if there exist function sequence {φ n}β(Ω) to make lim n→∞φ n(z)=φ 0(z),a.
,limn→∞ Ω[k|φn|- Re(κfφn) ]dxdy=0 ,其中 κf 为 f 的复特征 ,Reich证明 f 是唯一极值映照 。
6) Teichmüller mapping
Teichmüller映射
1.
Teichmüller mappings and harmonic maps;
Teichmüller映射与调和映射(英文)
补充资料：Teidchm(?)ller空间
Teidchm(?)ller空间
Teichmiiller space
nPoeTPaHcTBOI 一个度量空间(M，，d)，它的点是抽象Ri~rm曲面(abstraet Rien.nn surfaces)，即具有选出基本群7T.(X)生成元的等价(关于恒等映射)系统z的亏格是g的Ri~rm曲面x的共形等价类戈(见Rie-ma加曲面的共形类(Rienlalln surfaces，confonnalclassesof))，又其中无和无‘之间的距离d等于hiK，在此K是Teichnl山er映射(Teicllm过ler map·ping)的膨胀(拟保角映射了一无‘给出所有这种映射中的极大最小膨胀).由0.及lellmUller所引进(【l」).Teidull.ller空间【Teicl川1记ler明ce;Ta益翔拍朋epa
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参考词条