Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 43, 2018, 669-683

CARLESON MEASURES AND CHORD-ARC CURVES

Huaying Wei and Michel Zinsmeister

Jiangsu Normal University, Department of Mathematics and Statistics
Xuzhou 221116, P.R. China; 6020140058 'at' jsnu.edu.cn

Université d'Orléans, MAPMO
Orléans Cedex 2, France; zins 'at' univ-orleans.fr

Abstract. Following Semmes [16] and Zinsmeister [20], 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.

2010 Mathematics Subject Classification: Primary 30C62, 30F60, 30H35.

Key words: Carleson measures, vanishing Carleson measures, chord-arc curves, Bers embedding.

Reference to this article: H. Wei and M. Zinsmeister: Carleson measures and chord-arc curves. Ann. Acad. Sci. Fenn. Math. 43 (2018), 669-683.

Full document as PDF file

https://doi.org/10.5186/aasfm.2018.4341