BMO-Teichmüller spaces

Guizhen Cui; Michel Zinsmeister

doi:10.1215/ijm/1258138508

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Home > Journals > Illinois J. Math. > Volume 48 > Issue 4 > Article

Winter 2004 BMO-Teichmüller spaces

Guizhen Cui, Michel Zinsmeister

Illinois J. Math. 48(4): 1223-1233 (Winter 2004). DOI: 10.1215/ijm/1258138508

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Abstract

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.