Representations of Harmonic Functions in Half‐Spaces
Representations of Harmonic Functions in Half‐Spaces
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DOI：
10.1112/plms/s3-38.1.53
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发表时间：
1979
影响因子：
1.8
通讯作者：
D. H. Armitage
中科院分区：
文献类型：
--
作者：
D. H. Armitage
开半空间{M G Rn +1：y> 0}用D表示。Rn +1的子集E的边界和闭包分别用dE和JE~7表示。回想一下，D的泊松核P可以被视为Dx Rn中的函数，并且因此由以下等式定义：
The open half-space {M G Rn+ 1: y> 0} is denoted by D. The boundary and closure of a subset E of Rn+ 1 are denoted by dE and JE7, respectively. Recall that the Poisson kernel P of D may be regarded as a function in Dx Rn and as such is defined by the equation