Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 39, 2014, 691-709

UNIVERSAL TEICHMÜLLER SPACE AND Q_K SPACES

Hasi Wulan and Fangqin Ye

Shantou University, Department of Mathematics
Shantou 515063, P.R. China; wulan 'at' stu.edu.cn

Shantou University, Department of Mathematics
Shantou 515063, P.R. China; yefqah 'at' 163.com

Abstract. In this article, we study the universal Teichmüller space T(1) and give relationship between T_K \subset T(1) and a more general function space Q_K. Our results extend Astala and Zinsmeister's BMO-Teichmüller theory to the Q_K-Teichmüller theory.

2010 Mathematics Subject Classification: Primary 30C62, 30F60, 30H25.

Key words: Q_K spaces, universal Teichmüller space, Schwarzian derivative, complex dilatation, Carleson measures.

Reference to this article: H. Wulan and F. Ye: Universal Teichmüller space and Q_K spaces. Ann. Acad. Sci. Fenn. Math. 39 (2014), 691-709.

Full document as PDF file

doi:10.5186/aasfm.2014.3951

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