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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.CV2009★ 4 cited
Hausdorff measure of quasicircles
István Prause, Xavier Tolsa, Ignacio Uriarte-Tuero
S. Smirnov proved recently that the Hausdorff dimension of any K-quasicircle is at most 1+k^2, where k=(K-1)/(K+1). In this paper we show that if is such a quasicircle, then $H…