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      Carleson measures and chord-arc curves

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          Abstract

          Following Semmes \cite{Se} and Zinsmeister \cite{Zi89}, we continue the study of Carleson measures and their invariance under pull-back and push-forward operators. We also study the analogous statements for vanishing Carleson measures. As an application, we show that some quotient space of the space of chord-arc curves has a natural complex structure.

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          Most cited references 7

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          Conformally natural extension of homeomorphisms of the circle

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            Teichm�ller spaces and BMOA

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              Quasiconformal mappings and chord-arc curves

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                Author and article information

                Journal
                21 July 2017
                Article
                1707.07053

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                21 pages
                math.CV

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