| 拟共形映照的双曲面积偏差估计 |
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| 引用本文： | 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. |
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| 作者姓名： | 陈行堤 黄心中 |
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| 作者单位： | Department of Mathematics，Huaqiao University，Quanzhou 362021，China |
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| 基金项目： | 华侨大学校科研和教改项目 |
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| 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.
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| 关 键 词： | 拟共形映射 双曲线区 失真 估计 |
| 文章编号： | 1002-0462(2007)01-0137-06 |
| 修稿时间： | 2004年2月17日 |
On the Estimates of Hyperbolic Area Distortion of Quasiconformal Mappings |
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| 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. |
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| Authors: | CHEN Xing-di HUANG Xin-zhong |
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| Institution: | Department of Mathematics, Huaqiao University, Quanzhou 362021, China |
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| 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. |
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| Keywords: | hyperbolic area quasiconformal mapping explodable set distortion estimate |
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