Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane

K. Astala; A. Clop; X. Tolsa; I. Uriarte-Tuero; J. Verdera

doi:10.1353/ajm.2013.0001

Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane

K. Astala, A. Clop, X. Tolsa, I. Uriarte-Tuero, J. Verdera

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4 Citations (Scopus)

Abstract

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. © 2013 by The Johns Hopkins University Press.

Original language	English
Pages (from-to)	17-52
Journal	American Journal of Mathematics
Volume	135
Issue number	1
DOIs	https://doi.org/10.1353/ajm.2013.0001
Publication status	Published - 1 Feb 2013

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abstract = "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. {\textcopyright} 2013 by The Johns Hopkins University Press.",

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AU - Verdera, J.

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Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane

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