双调和Green函数与Bergman核函数
首发时间:2011-03-31
摘要:Bergman核函数一直以来都是一个被大量讨论与研究的热门话题。由Bergman核函数所展开的一系列问题的研究也取得了很多成果。以前已经研究得到了Green函数与Bergman核函数之间的关系,并且也研究了双调和Green函数的许多方面,了解了它的很多性质,但是,人们对双调和Green函数与Bergman核函数之间的关系还不知道。本文从这个思路出发,借鉴了Green函数与Bergman核函数之间的关系的研究思想,并通过分析双调和Green函数自身的一些特征,研究出了这两者之间的关系,并最终得到了一个等式。
关键词: Bergman核函数 Green函数 双调和Green函数
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Biharmonic Green function and Bergman kernel function
Abstract:In this paper, we all know that we have studied the connection between Green's function and Bergman kernel function. Bergeman kernel function has been studied heavily and stay always as an active topic. Many results have been abtained. Before, people studied many sides of the biharmonic Green function. But we did not know the connection between biharmonic Green function and Bergman kernel function. It uses the idea of the connection of Green's function and Bergman kernel function. Then the characterizations of biharmonic Green function are also used in the paper. Finally, it is abtained that the connection between biharmonic Green function and Bergman kernel function.
Keywords: Bergeman kernel function Green's function biharmonic Green function
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