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math.CA2010
On the semiadditivity of the capacities associated with signed vector valued Riesz kernels
Laura Prat
The aim of this paper is to show the semiadditivity of the capacities associated to the signed vector valued Riesz kernels of homogeneity in , with .
math.CA2010
Capacities associated with scalar signed Riesz kernels, and analytic capacity
Joan Mateu, Laura Prat, Joan Verdera
The real and imaginari parts of the Cauchy kernel in the plane are scalar Riesz kernels of homogeneity -1. One can associate with each of them a natural notion of capacity related…