| Nehari函数族的偏差定理与拟共形延拓 |
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| 引用本文： | 杨宗信,陈纪修.Nehari函数族的偏差定理与拟共形延拓[J].数学年刊A辑(中文版),2004(6). |
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| 作者姓名： | 杨宗信 陈纪修 |
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| 作者单位： | 复旦大学数学研究所，教育部非线性数学模型与方法重点实验室，复旦大学数学研究所，教育部非线性数学模型与方法重点实验室 上海 200433，上海 200433 |
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| 基金项目： | 国家自然科学基金(No.10271029)资助的项目. |
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| 摘 要： | 本文讨论了Nehari函数族的偏差性质,得到了这类函数及其导数的若干偏差定理,同时研究了这类函数的拟共形延拓,并给出拟共形延拓的精确表达式.
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| 关 键 词： | Nehari函数族 偏差定理 拟共形延拓 |
ON THE DISTORTION PROPERTIES AND QUASICONFORMAL EXTENSIONS OF THE NEHARI CLASS |
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| YANG Zongxin CHEN JixiuInstitute of Mathematics,Laboratory of Mathematics for Nonlinear Sciences of the Ministry of Education of China,Shanghai ,China.ON THE DISTORTION PROPERTIES AND QUASICONFORMAL EXTENSIONS OF THE NEHARI CLASS[J].Chinese Annals of Mathematics,2004(6). |
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| Authors: | YANG Zongxin CHEN JixiuInstitute of Mathematics Laboratory of Mathematics for Nonlinear Sciences of the Ministry of Education of China Shanghai China |
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| Institution: | YANG Zongxin CHEN JixiuInstitute of Mathematics,Laboratory of Mathematics for Nonlinear Sciences of the Ministry of Education of China,Shanghai 200433,China.Institute of Mathematics,Laboratory of Mathematics for Nonlinear Sciences of the Ministry of Education of China,Shanghai 200433,China. |
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| Abstract: | This paper discusses the distortion properties of the Nehari class in a more general situation, and obtains some important distortion properties of these functions and their derivatives. The authors also discuss the quasiconformal extensions of the class and obtain an explicit quasiconformal extension. |
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| Keywords: | Nehari class Distortion property Quasiconformal extension |
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