The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class

DOI10.1016/J.JMAA.2024.128593zbMATH Open1548.30125MaRDI QIDQ6607355

Katsuhiko Matsuzaki

Publication date: 18 September 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Teichmüller spacecomplex Banach manifold structure

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Banach analytic manifolds and spaces (32K05) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

• Bloch type spaces of analytic functions
• Model of the universal Teichmüller space
• Teichmüller space of circle diffeomorphisms with Hölder continuous derivatives
• Teichmüller space of circle diffeomorphisms with Zygmund smooth
• On Teichmüller space of circle diffeomorphisms with Hölder continuous derivative
• Weil-Petersson metric on the universal Teichmüller space
• The \(p\)-integrable Teichmüller space for \(p \geqslant 1\)
• Characterizations of circle homeomorphisms of different regularities in the universal Teichmüller space
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