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arXiv · 1707.07053

Carleson measures and chord-arc curves

Huaying Wei·Michel Zinsmeister
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Abstract

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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Huaying Wei, Michel Zinsmeister. 2017-07-21. Carleson measures and chord-arc curves. https://arxiv.org/abs/1707.07053

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