| 关于一致域一个特征的初等证明 |
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| 引用本文： | 黄曼子,褚玉明,王辉.关于一致域一个特征的初等证明[J].湖州师范学院学报,2009,31(1). |
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| 作者姓名： | 黄曼子 褚玉明 王辉 |
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| 作者单位： | 1. 湖南师范大学数学与计算机科学学院,湖南长沙,410081
2. 湖州师范学院理学院,浙江湖州,313000 |
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| 摘 要： | 利用初等的方法和John圆技术证明了-/R2中的任一有限连通域D是一致域当且仅当D的每一边界分支均为拟圆周或一点.由此得出结论:平面一致域是拟圆的推广.
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| 关 键 词： | John圆 一致域 拟圆 |
An Elementary Proof of a Characteristic of the Uniform Domains |
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| HUANG Man-zi,CHU Yu-ming,WANG Hui.An Elementary Proof of a Characteristic of the Uniform Domains[J].Journal of Huzhou Teachers College,2009,31(1). |
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| Authors: | HUANG Man-zi CHU Yu-ming WANG Hui |
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| Institution: | 1.School of Mathematics and Computer Science;Hunnan Normal University;Changsha410081;China;2.Faculty of Science;Huzhou Teachers College;Huzhou313000;China |
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| Abstract: | We prove that a finite connected domain DR2 is a uniform domain if and only if each boundary component of D is a quasi-circle or a point by using the elementary computation and John disk technique,and conclude that the uniform domain in R2 is the generalization of the quasidisk. |
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| Keywords: | John disk uniform domain quasidisk |
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