4 citations · 9 across the 7 of their papers we have counts for
7 papers
The real analytic structure of the Teichmüller space of circle diffeomorphisms with Zygmund continuous derivatives
Katsuhiko Matsuzaki
We apply the methods of simultaneous uniformization and composition operators on Besov spaces to the Teichmüller space of circle diffeomorphisms with Zygmund continuous deriv…
The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class II
Katsuhiko Matsuzaki
In our previous paper with the same title, we established the complex Banach manifold structure for the Teichmüller space of circle diffeomorphisms whose derivatives belong to the…
Simultaneous uniformization of chord-arc curves and BMO Teichmüller space
Katsuhiko Matsuzaki
This article surveys and develops the use of simultaneous uniformization for the study of chord-arc curves in the BMO Teichmüller space. The method of simultaneous uniformization p…
Analytic Besov functions, pre-Schwarzian derivatives, and integrable Teichmüller spaces
Katsuhiko Matsuzaki, Huaying Wei
We study the embedding of integrable Teichmüller spaces into analytic Besov spaces via pre-Schwarzian derivatives. In contrast to the Bers embedding by Schwarzian derivatives…
The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class
Katsuhiko Matsuzaki
We provide the complex Banach manifold structure for the Teichmüller space of circle diffeomorphisms whose derivatives are in the Zygmund class. This is done by showing that the Sc…
Symmetric and strongly symmetric homeomorphisms on the real line with non-symmetric inversion
Huaying Wei, Katsuhiko Matsuzaki
We show an example of a symmetric homeomorphism of the real line onto itself such that is not symmetric. This implies that the set of all symmetric self-h…
Teichmüller space of circle diffeomorphisms with Hölder continuous derivatives
Katsuhiko Matsuzaki
Based on the quasiconformal theory of the universal Teichmüller space, we introduce the Teichmüller space of diffeomorphisms of the unit circle with -Hölder continuous derivativ…