| 关于拟圆性质的评注 |
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| 引用本文： | 程金发,褚玉明. 关于拟圆性质的评注[J]. 数学年刊A辑(中文版), 2005, 0(1) |
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| 作者姓名： | 程金发 褚玉明 |
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| 作者单位： | 厦门大学数学系，湖州师范学院数学系 福建 厦门 361005，浙江 湖州 313000 |
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| 基金项目： | 国家自然科学基金(No.10471039,No.10271043)浙江省自然科学基金(No.M103087)资助的项目. |
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| 摘 要： | 设D是扩充复平面R-2中的单连通Jordan真子域,D*=R-2D-是D的外部.本文肯定并证明 了K.Hag在1999年提出的如下两个悬而未决的问题:(1)D是Cigar域当且仅当D是OLC域; (2)D是Turning域当且仅当D*是Cigar域.
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| 关 键 词： | 拟圆 Cigar域 ILC域 OLC域 |
REMARKS ON THE CHARACTERISTIC PROPERTY OF QUASIDISKS |
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| CHENG Jinfa CHU YumingDeptartment of Mathematics,Xiamen University,Xiamen ,Fujian,China.Deptartment of Mathematics,Huzhou Normal College,Huzhou ,Zhe-jiang,China.. REMARKS ON THE CHARACTERISTIC PROPERTY OF QUASIDISKS[J]. Chinese Annals of Mathematics, 2005, 0(1) |
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| Authors: | CHENG Jinfa CHU YumingDeptartment of Mathematics Xiamen University Xiamen Fujian China.Deptartment of Mathematics Huzhou Normal College Huzhou Zhe-jiang China. |
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| Affiliation: | CHENG Jinfa CHU YumingDeptartment of Mathematics,Xiamen University,Xiamen 361005,Fujian,China.Deptartment of Mathematics,Huzhou Normal College,Huzhou 313000,Zhe-jiang,China. |
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| Abstract: | Suppose that D is a simply connected Jordan proper subdomain in the extended com-plex plane R-2 , and D* = R-2D- the exterior of D. In this paper, the authors affirm and prove two open problems which were given by K. Hag in 1999: (1) D is a Cigar domain if and only if D is a OLC domain. (2) D is a Turning domain if and only if D* is a Cigar domain. |
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| Keywords: | Quasidisks Cigar domain ILC domain OLC domain |
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