Author:
Wei Huaying,Matsuzaki Katsuhiko
Abstract
AbstractWe give a real-analytic section for the Teichmüller projection onto the VMO-Teichmüller space by using the variant of Beurling–Ahlfors extension by heat kernel introduced by Fefferman et al. (Ann Math 134:65–124, 1991). Based on this result, we prove that the VMO-Teichmüller space can be endowed with a real Banach manifold structure that is real-analytically equivalent to its complex Banach manifold structure. We also obtain that the VMO-Teichmüller space admits a real-analytic contraction mapping.
Publisher
Springer Science and Business Media LLC
Reference34 articles.
1. Anderson, J.M., Becker, J., Lesley, F.D.: On the boundary correspondence of asymptotically conformal automorphisms. J. Lond. Math. Soc. 38, 453–462 (1988)
2. Beurling, A., Ahlfors, L.V.: The boundary correspondence under quasiconformal mappings. Acta Math. 96, 125–142 (1956)
3. Benedek, A., Calderón, A., Panzone, R.: Convolution operators on Banach space valued functions. Proc. Natl. Acad. Sci. USA 48, 356–365 (1962)
4. Bourbaki, N.: Variétés différentielles et analytiques, Eléments de mathématique XXXlII, Fascicule de résultats–Paragraphes 1 à 7, Hermann (1967)
5. Chae, S.B.: Holomorphy and Calculus in Normed Spaces, Pure and Applied Mathematics, vol. 92. Marcel Dekker, New York (1985)
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献