拟共形映照的双曲面积偏差估计

数学季刊 ›› 2007, Vol. 22 ›› Issue (1): 137-142.

拟共形映照的双曲面积偏差估计

Department of Mathematics,Huaqiao University,Quanzhou 362021,China

收稿日期:2004-02-17 出版日期:2007-03-30 发布日期:2023-11-16
作者简介:CHEN Xing-di(1976-),male,native of Quanzhou,Fujian,a lecturer of Huaqiao University, M.S.D.,engages in complex analysis theory;HUANG Xin-zhong(1957-),male,native of Quanzhou,Fujian,a professor of Huaqiao University,Ph.D.,engages in complex analysis theory.
基金资助:
Supported by the Natural Science Foundation of Huaqiao University(02HZR12)； Supported by the Natural Science Foundation of Overseas Chinese Affairs Office under the State Council(01QZR01)；

On the Estimates of Hyperbolic Area Distortion of Quasiconformal Mappings

Department of Mathematics,Huaqiao University,Quanzhou 362021,China

Received:2004-02-17 Online:2007-03-30 Published:2023-11-16
About author:CHEN Xing-di(1976-),male,native of Quanzhou,Fujian,a lecturer of Huaqiao University, M.S.D.,engages in complex analysis theory;HUANG Xin-zhong(1957-),male,native of Quanzhou,Fujian,a professor of Huaqiao University,Ph.D.,engages in complex analysis theory.
Supported by:
Supported by the Natural Science Foundation of Huaqiao University(02HZR12)； Supported by the Natural Science Foundation of Overseas Chinese Affairs Office under the State Council(01QZR01)；

摘要/Abstract

摘要： The distortion property of hyperbolic area of planar quasiconformal mappings is studied in this paper.In the case of radial quasiconformal mappings and angular deformed quasiconformal mappings their hyperbolic area distortions are estimated quite sharply.The result can be applied to judge whether the hyperbolic area of a planar subset is explodable.

关键词: hyperbolic area, quasiconformal mapping, explodable set, distortion estimate ,

Abstract: The distortion property of hyperbolic area of planar quasiconformal mappings is studied in this paper.In the case of radial quasiconformal mappings and angular deformed quasiconformal mappings their hyperbolic area distortions are estimated quite sharply.The result can be applied to judge whether the hyperbolic area of a planar subset is explodable.

Key words: hyperbolic area, quasiconformal mapping, explodable set, distortion estimate ,

中图分类号:

O174.55

陈行堤, 黄心中. 拟共形映照的双曲面积偏差估计[J]. 数学季刊, 2007, 22(1): 137-142.

CHEN Xing-di, HUANG Xin-zhong. On the Estimates of Hyperbolic Area Distortion of Quasiconformal Mappings[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(1): 137-142.

[1]	陈玉磊, 郭东威. 涉及调和数的组合恒等式[J]. 数学季刊, 2024, 39(3): 307-314.
[2]	付志鹏. 关于KdV方程簇Tau函数仿射坐标的一个注记[J]. 数学季刊, 2024, 39(3): 324-330.
[3]	庞茹一, 陈巧玲. 具有食饵避难所的离散捕食者-食饵模型的余维二分支分析[J]. 数学季刊, 2024, 39(2): 128-143.
[4]	方晗兵, 许斌, 杨百瑞. 紧黎曼曲面上锥度量的高斯博内公式[J]. 数学季刊, 2024, 39(2): 180-184.
[5]	许云龙, 钟裕民. Bouw-M¨oler曲面的Minkowski常数[J]. 数学季刊, 2024, 39(2): 185-199.
[6]	唐忠华, 房少梅. 带分数阶Robin边界条件的时间-空间分数阶扩散方程的有限差分方法[J]. 数学季刊, 2024, 39(1): 18-30.
[7]	孙晓雷. 从监管视角分析中央银行数字货币与私人加密货币的竞争均衡[J]. 数学季刊, 2023, 38(4): 415-423.
[8]	杨亦松. 曲面上的曲率在理论物理中的一些应用[J]. 数学季刊, 2023, 38(3): 221-253.
[9]	关庄丹. 群作用在复几何中的一些运用[J]. 数学季刊, 2023, 38(3): 254-275.
[10]	秦玉明, 陈家乐, 姜慧特. 关于全局吸引子的一个新的存在性定理以及它对于非经典扩散方程的应用[J]. 数学季刊, 2023, 38(3): 276-289.
[11]	王术, 孙瑞. 具有非线性边界条件的不可压 MHD-Boussinesq方程组初边值问题的整体适定性#br#[J]. 数学季刊, 2023, 38(3): 290-310.
[12]	徐晓濛. Stokes 现象与量子群的表示[J]. 数学季刊, 2023, 38(3): 311-330.
[13]	董昌州, 李浩雪. 矩阵方程的最小二乘{P,Q,k+1}-自反解[J]. 数学季刊, 2023, 38(2): 210-220.
[14]	马腾. 变指标中心Morrey空间上带Dini核的多线性C-Z算子[J]. 数学季刊, 2023, 38(2): 184-195.
[15]	任世全, 王冲. 有向图的加权解析挠率[J]. 数学季刊, 2023, 38(1): 30-49.