3 papers
math.CV2025
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…
math.CV2025
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…
math.CV2019
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…