# The VMO-Teichmüller space and the variant of Beurling–Ahlfors extension by heat kernel

Huaying Wei, Katsuhiko Matsuzaki*

*この研究の対応する著者

## 抄録

We 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.

本文言語 English 1739-1760 22 Mathematische Zeitschrift 302 3 https://doi.org/10.1007/s00209-022-03104-6 Published - 2022 11月

• 数学 (全般)

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