BMO-Teichmüller Spaces

Guizhen Cui (1) , Michel Zinsmeister (2)

1 Institute of Applied Mathematics
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We show that the complex dilatation of the Douady-Earle extension of a strongly quasisymmetric homeomorphism produces a Carleson measure. As an application, we study the BMO-Teichmüller theory compatible with a Fuchsian group.

Domaines: Systèmes dynamiques [math.DS]

Guizhen Cui, Michel Zinsmeister. BMO-Teichmüller Spaces. Illinois Journal of Mathematics, 2004, Vol 48 Issue 4, pp.1223-1233. ⟨hal-00087920⟩