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上半平面的Poisson公式的推广
引用本文:李浩智.上半平面的Poisson公式的推广[J].广西师范学院学报(自然科学版),1994(2).
作者姓名:李浩智
摘    要:利用解析开拓和Plemelj公式,将上半平面的Poisson公式推广到适用于在上半平面无界的函数及在实轴上除了有限个点处有低于一阶的奇异性外为Holder连续的函数。

关 键 词:Dirichlet问题,调和函数,解析函数,Holder连续,Plemelj公式

The Generalization of the Poisson Formula on the Upper Half Plane
Li Haozhi.The Generalization of the Poisson Formula on the Upper Half Plane[J].Journal of Guangxi Teachers Education University:Natural Science Edition,1994(2).
Authors:Li Haozhi
Institution:Guangxi Teacher's College
Abstract:Using the analytic extention and plemelj formula, we generalize the Poisson formula in the unbouned functions on the upper half plane and the functions of Holder continuous on the real axis except some points at which the function has the strangeness of which order one is lower.
Keywords:dirichlet question  harmonic function  analytic function  Holder continnous  plemelj formula
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