Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane

Details Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane

2010-02-04

arxiv.org/abs/1002.1038v1

Mathematics

Complex Variables

33 pages

Scientific paper

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 terms of the Hausdorff measures.

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