| 具有不可缩伸缩商的拟共形映射 |
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| 引用本文： | 沈玉良,陈纪修.具有不可缩伸缩商的拟共形映射[J].数学年刊A辑(中文版),2002(4). |
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| 作者姓名： | 沈玉良 陈纪修 |
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| 作者单位： | 苏州大学数学系，复旦大学数学研究所 江苏 苏州2150062，复旦大学非线性科学数学实验室，上海200433.，上海200433 |
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| 基金项目： | 国家自然科学基金（No.10071038，No.19871014），江苏省教育厅自然科学基金资助的项目. |
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| 摘 要： | 在研究拟共形映射的唯一极值性时,Reich引入了具有不可缩伸缩商的拟共形映射的概念.本文将继续讨论这类映射,并给出无穷小情形下的一些类似结果.
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| 关 键 词： | 拟共形映射 Beltrami系数 不可缩伸缩商 无穷小不可缩伸缩商 |
QUASICONFORMAL MAPPINGS WITH NON-DECREASABLE DILATATIONS |
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| SHEN Yuliang CHEN Jixiu.QUASICONFORMAL MAPPINGS WITH NON-DECREASABLE DILATATIONS[J].Chinese Annals of Mathematics,2002(4). |
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| Authors: | SHEN Yuliang CHEN Jixiu |
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| Institution: | SHEN Yuliang CHEN Jixiu*Department of Mathematics,Suzhou University,Suzhou 215006,Jiangsu,China, Lab. of Math,for Nonlinear Science,Fudan University,Shanghai 200433,China. E-mail: yll22222@pub.sz.jsinfo.net**Institute of Mathematics,Fudan Univers |
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| Abstract: | Edgar Reich introduced the notion of quasiconformal mappings with non-decreasable dilatations when studying the unique extremality of quasiconformal mappings. In this paper, the authors will continue the discussions of these mappings and prove some analogous results in the infinitesimal setting as well. |
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| Keywords: | Quasiconformal mapping Beltrami coefficient Non-decreasable dilatation Infinitesimally non-decreasable dilatation |
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