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SINGULAR BOUNDARY PROPERTIES OF HARMONIC FUNCTIONS AND FRACTAL ANALYSIS
作者姓名:Wen Zhiying  Zhang Yiping
摘    要:SINGULARBOUNDARYPROPERTIESOFHARMONICFUNCTIONSANDFRACTALANALYSISWENZHIYINGZHANGYIPINGManuscriptreceivedJanuary11,1995.Revi...

关 键 词:调和函数  分形分析  单边性  有限测度
收稿时间:1995/1/11 0:00:00
修稿时间:1996/3/24 0:00:00

SINGULAR BOUNDARY PROPERTIES OF HARMONIC FUNCTIONS AND FRACTAL ANALYSIS
Wen Zhiying,Zhang Yiping.SINGULAR BOUNDARY PROPERTIES OF HARMONIC FUNCTIONS AND FRACTAL ANALYSIS[J].Chinese Annals of Mathematics,Series B,1997,18(3):337-344.
Authors:Wen Zhiying and Zhang Yiping
Institution:WEN ZHIYING * ZHANG YIPING *
Abstract:This paper shows an important relation between the fractal analysis and the boundary properties of harmonic functions. It is proved that the multifractal analysis of a finite measure $\mu$ on $\R^d$ determines the (non-tangential) boundary increasing properties of $P\mu$, the Poisson integral of $\mu$ which is harmonic on $\R_{+}^{d+1}$. Some examples are given.
Keywords:Fractal  Harmonic function  Multifractal analysis
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