Abstract
We prove that the capacity associated to the signed vector-valued Riesz kernel $\frac{x}{|x|^{1+\alpha}}$ in $\Rn$, $0<\alpha<n$, $\alpha\notin\Z$, vanishes on compact sets with finite $\alpha$-Hausdorff measure that satisfy an additional density condition.
Citation
Laura Prat. "Null sets for the capacity associated to Riesz kernels." Illinois J. Math. 48 (3) 953 - 963, Fall 2004. https://doi.org/10.1215/ijm/1258131063
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