BMO-Teichm\"uller spaces revisited
Complex Variables
2017-11-28 v2
Abstract
In a paper of Cui and Zinsmeister the equivalence among three definitions of BMO-Teichm\"uller spaces associated with a Fuchsian group was proven using the Douady-Earle extension operator. In this paper, we show that these equivalences are actually biholomorphisms. It was further shown in the above quoted paper that the Douady-Earle extension operator is continuous at the origin. We improve this result by showing G\^ateaux-differentiability at this point.
Keywords
Cite
@article{arxiv.1710.01588,
title = {BMO-Teichm\"uller spaces revisited},
author = {Huaying Wei and Michel Zinsmeister},
journal= {arXiv preprint arXiv:1710.01588},
year = {2017}
}
Comments
19 pages