| 平面区域拟共形变换可微性的可去集 |
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| 引用本文： | 范金华.平面区域拟共形变换可微性的可去集[J].数学年刊A辑(中文版),2005(5). |
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| 作者姓名： | 范金华 |
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| 作者单位： | 复旦大学数学研究所 上海 |
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| 摘 要： | 本文研究平面区域上K-qc映射的不可微集合的Hausdorff维数.对任何K>1,给出了平面区域上一个具体的K-qc映射,它的不可微集合的Hausdorff维数为2.
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| 关 键 词： | 拟共形映射 Hausdorff维数 A.C.L性质 正则集 |
THE EXCEPTIONAL SETS FOR THE DIFFERENTIABILITY OF QU ASICONFORMAL MAPPINGS ON PLANE DOMAIN |
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| FAN Jinhua Institute of Mathematics,Fudan University,Shanghai ,China..THE EXCEPTIONAL SETS FOR THE DIFFERENTIABILITY OF QU ASICONFORMAL MAPPINGS ON PLANE DOMAIN[J].Chinese Annals of Mathematics,2005(5). |
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| Authors: | FAN Jinhua Institute of Mathematics Fudan University Shanghai China |
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| Institution: | FAN Jinhua Institute of Mathematics,Fudan University,Shanghai 200433,China. |
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| Abstract: | This paper studies Hausdorff dimension of the exceptional sets for differentiability of K-qc mappings on plane domain. For all K > 1, the author gives an explicit A'-qc mapping on plane domain with the Hausdorff dimension of its nondifferentiable set is 2. |
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| Keywords: | Quasiconformal mapping Hausdorff dimension A C L-property Regular set |
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