Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 921-930

ON STRONGLY QUASISYMMETRIC HOMEOMORPHISMS

Yue Fan, Yun Hu and Yuliang Shen

Soochow University, Department of Mathematics
Suzhou 215006, P.R. China; 20144007001 'at' stu.suda.edu.cn

Soochow University, Department of Mathematics
Suzhou 215006, P.R. China; huyun_80 'at' 163.com

Soochow University, Department of Mathematics
Suzhou 215006, P.R. China; ylshen 'at' suda.edu.cn

Abstract. This short note is a continuous work of our previous paper [SW], where we were mainly concerned with the BMO theory of the universal Teichmüller space. We will endow the BMO-Teichmüller curve T_b, the VMO-Teichmüller curve T_v and the BMO-Teichmüller space T_b with BMO manifold structures and prove that all these three spaces T_b, T_v and T_b are contractible. We will also introduce a (new) extended BMO-Teichmüller space T_b and endow it with BMO manifold structures.

2010 Mathematics Subject Classification: Primary 30C62, 30F60, 32G15; Secondary 30H35.

Key words: Universal Teichmüller space, BMO-Teichmüller space, VMO-Teichmüller space, strongly quasisymmetric homeomorphism.

Reference to this article: Y. Fan, Y. Hu and Y. Shen: On strongly quasisymmetric homeomorphisms. Ann. Acad. Sci. Fenn. Math. 42 (2017), 921-930.

Full document as PDF file

https://doi.org/10.5186/aasfm.2017.4254