| 拟圆的三个充要条件 |
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| 引用本文： | 褚玉明. 拟圆的三个充要条件[J]. 数学年刊A辑(中文版), 2004, 0(6) |
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| 作者姓名： | 褚玉明 |
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| 作者单位： | 湖州师范学院数学系 浙江 |
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| 基金项目： | 国家自然科学基金(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R2中的Jordan域,D*=R2＼D是D的外部,本文证明了拟圆的下面三个充要条件:(1)D是拟圆当且仅当D和D*都是弱拟凸域;(2)D是拟圆当且仅当D和D*都是弱Cigar域;(3)D是拟圆当且仅当D是弱一致域.
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| 关 键 词： | 拟共形映射 拟圆 弱拟凸域 弱Cigar域 弱一致域 |
THREE NECESSARY AND SUFFICIENT CONDITIONS FOR QUASIDISKS |
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| CHU Yuming. THREE NECESSARY AND SUFFICIENT CONDITIONS FOR QUASIDISKS[J]. Chinese Annals of Mathematics, 2004, 0(6) |
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| Authors: | CHU Yuming |
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| Affiliation: | CHU YumingDepartment of Mathematics,Huzhou Teacher's College,Huzhou 313000,Zhe-jiang,China. |
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| Abstract: | Let D be a Jordan domain in (?), and D* = (?)(?) the exterior of D. This paper proves the following three results: (1) D is a quasidisk if and only if both D and D* are weakly quasiconvex domains; (2) D is a quasidisk if and only if both D and D* are weakly Cigar domains; (3) D is a quasidisk if and only if D is a weakly uniform domain. |
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| Keywords: | Quasiconformal mapping Quasidisk Weakly quasiconvex domain Weakly Cigar domain Weakly uniform domain |
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