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BMO-Teichmüller spaces revisited

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2018Embargo end date: 01 Jan 2017Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 466, pages 1,082-1,098 (issn: 0022-247X,

Authors: Michel Zinsmeister; Huaying Wei;

doi: 10.1016/j.jmaa.2018.06.041 , 10.48550/arxiv.1710.01588

BMO-Teichmüller spaces revisited

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Abstract

In a paper of Cui and Zinsmeister the equivalence among three definitions of BMO-Teichm��ller 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��teaux-differentiability at this point.

19 pages

Related Organizations

University of Orléans
France
Jiangsu Normal University
China (People's Republic of)
Jiangxi Normal University
China (People's Republic of)
Jiangxi Normal University
China (People's Republic of)
Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique
France

Keywords

FOS: Mathematics, 30C62, 30F60, 30H35, Complex Variables (math.CV)

1 Research products, page 1 of 1

Boundary and Holder regularities of Douady-Earle extensions and eigenvalues of Laplace operators acting on Riemann surfaces
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