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具有无界"非汉字符号"-导数的函数及其边界函数

Functions with Unbounded "非汉字符号"-derivativeand Their Boundary Functions
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摘要 设F(z)是实轴R上的实值连续函数F(x)在上半平面H上的Beurling Ahlfors延拓,其广义导数 F无界.讨论了 F(x+iy)与λF(x,t)=|F(x+t)-2F(x)+F(x-t)t|的增长阶之间的关系,对 F(x+iy)的值作出了更为精细的估计. Let F(z) be the BeurlingAhlfors extension of the continuous complexvalued function F(x) defined on the real axis R,and the generalized derivative F of F(z) is unbounded. The relationship between the increasing order of F(x+iy) and that of λF(x,t)=F(x+t)-2F(x)+F(x-t)t was discussd,and improve the corresponding result.
出处 《复旦学报(自然科学版)》 CAS CSCD 北大核心 2002年第5期577-581,共5页 Journal of Fudan University:Natural Science
基金 国家自然科学基金资助项目(19871014)
关键词 无界δ^--导数 边界函数 拟共形形变 BEURLING-AHLFORS扩张 拟共形映照 复值连续函数 Zygmund范数 quasiconformal deformation BeurlingAhlfors extension quasiconformal mapping
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参考文献4

  • 1Gardiner F,Sullivan D.Symmetric structures on a closed curve[].American Journal of Mathematics.1992
  • 2Reich E,Chen J.Extensions with bounded -derivative[].Ann Acad Sci Fenn Ser A I Math.1991
  • 3Chen Z,Chen J,He C.Function with unbounded -derivative and their boundary functions[].J Austral Math( Series A).1997
  • 4Wu Zemin.On a constant of quasiconformal deformation[].Journal of Shanghai Jiaotong University.1999
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