On the semiadditivity of the capacities associated with signed vector valued Riesz kernels

Prat, Laura

doi:10.1090/S0002-9947-2012-05724-2

On the semiadditivity of the capacities associated with signed vector valued Riesz kernels

Author: Laura Prat
Journal: Trans. Amer. Math. Soc. 364 (2012), 5673-5691
MSC (2010): Primary 42B20
DOI: https://doi.org/10.1090/S0002-9947-2012-05724-2
Published electronically: June 22, 2012
MathSciNet review: 2946926
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Abstract: The aim of this paper is to show the semiadditivity of the capacities associated with the signed vector valued Riesz kernels of homogeneity $-\alpha$ in ${\mathbb{R}}^n$ , $0<\alpha <n$ .

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