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Perron函数的调和分析
引用本文:张振江.Perron函数的调和分析[J].宝鸡文理学院学报(自然科学版),1993(2):40-42.
作者姓名:张振江
作者单位:宝鸡文理学院数学系
摘    要:本文利用分析的方法,借助于次调和函数和下函数的性质得到 Dirichlet 问题的存在性。

关 键 词:Perron函数  调和分析  狄利克雷问题

HARMONIC ANALYSIS OF PERRON'S FUNCTION
Zhang Zhenjiang.HARMONIC ANALYSIS OF PERRON''''S FUNCTION[J].Journal of Baoji College of Arts and Science(Natural Science Edition),1993(2):40-42.
Authors:Zhang Zhenjiang
Institution:Departmaent of Mathematics
Abstract:If D is a bounded domain,the Prablem is to show that there exists a function,harmonic in D and continuous in D,which takes given continuous Values on the frontier (?)D of D.A do- main is an open connected set;its fronier is the intersection of its closure and the closure of its complement.There are several proofs of this existence theorem,We give here the proof, associated with the names of Perron and Remak,which uses the theory of subharmonic func- tions
Keywords:Perron functions  Subharmonie functions
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