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math.CA2010
A new characterization of Sobolev spaces on
Roc Alabern, Joan Mateu, Joan Verdera
In this paper we present a new characterization of Sobolev spaces on Euclidian spaces (). Our characterizing condition is obtained via a quadratic multiscale expressi…
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…