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距离边界条件域和Hlder域

Distance boundary condition domains and Hlder domains
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摘要 主要利用了距离边界条件域和Hlder域的定义,建立了当kD(x1,x2)和jD(x1,x2)满足一定的条件后,两类距离边界条件域和Hlder域之间的四个充要条件和一个充分条件. This paper utilizes the definition of distance boundary condition domains and Hǒlder domains, establishes four necessary and sufficient conditions and one sufficient condition of two kind of distance boundary condition domains and HSlder domains when kD (x1, x2) and jD (x1, x2) satisfy some conditions.
作者 王芳 高纯一
出处 《纯粹数学与应用数学》 CSCD 北大核心 2008年第4期686-689,共4页 Pure and Applied Mathematics
基金 湖南省自然科学基金(05JJ30013)
关键词 拟共形映射 拟双曲距离 拟双曲边界条件 Hǒlder域 quasiconformal mapping, quasichyperbolic distance, quasihyperbolic boundary condition, Hǒlder domain
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参考文献10

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二级参考文献1

  • 1F. W. Gehring,B. G. Osgood. Uniform domains and the quasi-hyperbolic metric[J] 1979,Journal d’Analyse Mathématique(1):50~74

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