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arxiv: 1707.07053 · v4 · pith:VT4YO3DVnew · submitted 2017-07-21 · 🧮 math.CV

Carleson measures and chord-arc curves

classification 🧮 math.CV
keywords carlesonmeasureschord-arccurvesspaceanalogousapplicationcomplex
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Following Semmes and Zinsmeister, 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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