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math.CV2010★ 1 cited
Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane
K. Astala, A. Clop, X. Tolsa +2
In this paper we prove the sharp distortion estimates for the quasiconformal mappings in the plane, both in terms of the Riesz capacities from non linear potential theory and in te…
math.CA2010★ 4 cited
Calderon-Zygmund capacities and Wolff potentials on Cantor sets
Xavier Tolsa
We show that, for some Cantor sets in R^d, the capacity g_s associated to the s-dimensional Riesz kernel x/|x|^{s+1} is comparable to the capacity C_{2(d-s)/3,3/2} from non linear…