The Stability of Harmonic Quasiconformal Mappings in the Unit Disk

Qingtian Shi; Xinzhong Huang

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The Stability of Harmonic Quasiconformal Mappings in the Unit Disk

机译：单位圆盘中调和准保形映射的稳定性

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摘要

One necessary and sufficient condition for the family of SHU and SHK(r) is obtained by analysing the properties for the stability of harmonic quasiconformal mappings (SHK(r)), where SHU is defined in [4]. On the other hand, one criterion is given to judge the stability for close to convex harmonic mappings.

机译：通过分析谐波拟保形映射（SHK（r））的稳定性，可以获得SHU和SHK（r）族的一个充要条件，其中SHU在[4]中定义。另一方面，给出了一个准则来判断接近凸谐波映射的稳定性。

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《Southeast Asian bulletin of mathematics 》 |2016年第1期| 共8页
作者
Qingtian Shi; Xinzhong Huang;
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正文语种 eng
中图分类数学 ;
关键词
Harmonic quasiconformal mappings; Stability; Close to convex; Shear functions;

机译：调和拟形映射;稳定性;接近凸;剪函数;

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专利

1. The Stability of Harmonic Quasiconformal Mappings in the Unit Disk [J] . Qingtian Shi, Xinzhong Huang Southeast Asian bulletin of mathematics . 2016 ,第1期

机译：单位圆盘中调和准保形映射的稳定性
2. Radial Length, Radial John Disks and K-quasiconformal Harmonic Mappings [J] . Chen Shaolin, Ponnusamy Saminathan Potential analysis: An international journal devoted to the interactions between potential theory, probability theory, geometry and functional analysis . 2019 ,第3期

机译：径向长度，径向约翰圆盘和k- quasicon形式谐波映射
3. John Disks and K-Quasiconformal Harmonic Mappings [J] . Chen Shaolin, Ponnusamy Saminathan The Journal of geometric analysis . 2017 ,第2期

机译：John磁盘和K-QuasicOnformal谐波映射
4. Quasiconformal Harmonic Mappings Related to Janowski Alpha-Spirallike Functions [C] . Melike Aydo?an, Ya?ar Polato?lu International Conference on Mathematical Sciences . 2014

机译：与Janowski Alpha-Spirallike功能相关的QuasicOnformal谐波映射
5. Harmonic univalent mappings on the unit disk and the punctured unit disk. [D] . Galloy, Michael Duane. 1998

机译：单位磁盘和穿孔的单位磁盘上的谐波单价映射。
6. 1-Quasiconformal Mappings and CR Mappings on Goursat Groups [O] . Qing Yan Wu, Zun Wei Fu -1

机译：Goursat组上的1-拟共形映射和CR映射
7. Radial length, radial John disks and $K$-quasiconformal harmonic mappings [O] . Chen, Shaolin, Ponnusamy, Saminathan 2017

机译：径向长度，径向约翰磁盘和$ K $ -quasiconformal谐波映射
8. Quasiconformal Mappings, Operators on Hilbert Space, and Local Formulae forCharacteristic Classes [R] . Connes, A., Sullivan, D., Teleman, N. 1994

机译：拟共形映射，Hilbert空间上的算子和特征类的局部公式

The Stability of Harmonic Quasiconformal Mappings in the Unit Disk

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