Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 105-118

UNIVERSAL TEICHMÜLLER SPACES AND F(p,q,s) SPACE

Xiaogao Feng, Shengjin Huo and Shuan Tang

China West Normal University, College of Mathematics and Information
Nanchong, 637002, P.R. China; and
Soochow University, Department of Mathematics
Suzhou, 215006, P.R. China; fengxiaogao603 'at' 163.com

Tianjin Polytechnic University, Department of Mathematics
Tianjin, 300387, P.R. China; sjhuo 'at' pku.edu.cn

Guizhou Normal University, School of Mathematics Sciences
Guiyang 550001, P.R. China; tsaflyhigher 'at' 163.com

Abstract. In this paper, we introduce the F(p,s)-Teichmüller space and investigate its Schwarzian derivative model and pre-logarithmic derivative model. In particular, we prove that the pre-logarithmic derivative model is a disconnected subset of Besov type space F(p,s) and the Bers projection is holomorphic.

2010 Mathematics Subject Classification: Primary 30C62; Secondary 30F60, 32G15.

Key words: Quasiconformal mapping, Universal Teichmüller space, F(p,s) space, Bers projection.

Reference to this article: X. Feng, S. Huo and S. Tang: Universal Teichmüller spaces and F(p,q,s) space. Ann. Acad. Sci. Fenn. Math. 42 (2017), 105-118.

Full document as PDF file

https://doi.org/10.5186/aasfm.2017.4208