The Capacity Associated to Signed Riesz Kernels, and Wolff Potentials

Joan Mateu, Laura Prat, Joan Verdera
2005 Journal für die Reine und Angewandte Mathematik  
We show that, for 0 < α < 1, the capacity associated to the signed vector valued Riesz kernel x |x| 1+α in R n is comparable to the Riesz capacity C 2 3 (n−α), 3 2 of non-linear potential theory.
doi:10.1515/crll.2005.2005.578.201 fatcat:psseuqx6rjhnjilfzmb2d2gap4