$Rn$中向量场的Hardy-Hodge分解
Hardy-Hodge Decomposition of Vector Fields in $Rn$
摘要：
证明了IR n上的$IR n+1$值向量场是$IR n+1 \ IR n$的每个分量上的两个调和梯度的迹和$IR n$值无发散向量场的迹.我们将其应用于描述消失的潜力在散度型。结果表示的Clifford Hardy空间，其中的结构是重要的，我们的研究。
英文摘要：
We prove that a $IR n+1$-valued vector field on IR n is the sum of the traces of two harmonic gradients, one in each component of $IR n+1 \ IR n$ , and of a $IR n$-valued divergence free vector field. We apply this to the description of vanishing potentials in divergence form. The results are stated in terms of Clifford Hardy spaces, the structure of which is important for our study.
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