| 拟极值距离域和拟共形映照的扩张 |
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| 引用本文： | 褚玉明,周海银.拟极值距离域和拟共形映照的扩张[J].高校应用数学学报(A辑),1996(2):225-230. |
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| 作者姓名： | 褚玉明 周海银 |
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| 作者单位： | 长沙市国防科技大学数学系，长沙市国防科技大学数学系 邮码 410073 湖南师范大学数学系，邮码 410073 |
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| 基金项目： | 国家自然科学基金，国防科大基金 |
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| 摘 要： | 本文研究了空间R_n中的拟极值距离城,找到了一个可以拟共等价于球而不是拟极值距离域的例子,给出了拟极值距离域的一个等价定义,证明了一个Jordan的拟极值距离域的外部是拟极值距离城的充分条件为它是拟共形反射域。最后我们还建立了一个平面拟共形映照的扩张性质。
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| 关 键 词： | 拟极值距离域 拟共形反射域 拟共形映照 扩张 |
QUASIEXTREMAL DISTANCE DOMAINS AND THE EXTENSION OF QUASICONFORMAL MAPPINGS |
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| Chu Yuming,Zhou Haiying Dept. of Math.,National University of Defence. Technology,Changsha.QUASIEXTREMAL DISTANCE DOMAINS AND THE EXTENSION OF QUASICONFORMAL MAPPINGS[J].Applied Mathematics A Journal of Chinese Universities,1996(2):225-230. |
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| Authors: | Chu Yuming Zhou Haiying Dept of Math National University of Defence Technology Changsha |
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| Institution: | Chu Yuming,Zhou Haiying Dept. of Math.,National University of Defence. Technology,Changsha,410073 |
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| Abstract: | In this paper, we study the quasiextremal distance domains in R~n. We give an exam-ple of domain which can be quasiconformally equivalent to ball but it is not quasiextremaldistance domain, get an equivalent definition for quasiextremal distance domain and obtaina sufficient condition such that the exterior D*=R~n\D of a Jordan quasiextremal distancedomain D is also a quasiextremal distance domain, i. e., D is a quasiconformal reflectiondomain. At last, we establish an extension property for quasiconformal mapping in plane. |
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| Keywords: | Quasiconformal Reflection Domain Quasiextremal Distance Domain Quasiconformal Equivalent to Ball Quasidisks |
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