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Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 135, Number 1, February 2013
- pp. 17-52
- 10.1353/ajm.2013.0001
- Article
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In this paper we prove the sharp distortion estimates for the quasiconformal mappings
in the plane, both in terms of the Riesz capacities from nonlinear potential theory
and in terms of the Hausdorff measures.