Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane

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

Research output: Contribution to journalArticleResearchpeer-review

6 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 languageEnglish
Pages (from-to)17-52
JournalAmerican Journal of Mathematics
Volume135
Issue number1
DOIs
Publication statusPublished - 1 Feb 2013

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