On Teichmüller space of circle diffeomorphisms with Hölder continuous derivative

DOI10.1007/s13324-021-00502-7zbMath1461.30052OpenAlexW3131429633MaRDI QIDQ2656231

Pengcheng Wu, Shu'an Tang

Publication date: 11 March 2021

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

Full work available at URL: https://doi.org/10.1007/s13324-021-00502-7

zbMATH Keywords

Schwarzian derivative modelTeichmüller space \(T_0^\alpha\)

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some characterizations of the integrable Teichmüller space
• The boundary correspondence under quasiconformal mappings
• Riemann's mapping theorem for variable metrics
• Diff(S\({}^ 1)\) and the Teichmüller spaces
• Injectivity, the BMO norm and the universal Teichmüller space
• Bloch type spaces of analytic functions
• Integrably asymptotic affine homeomorphisms of the circle and Teichmüller spaces
• Teichmüller spaces and BMOA
• Conformally natural extension of homeomorphisms of the circle
• Model of the universal Teichmüller space
• Universal Teichmüller space and BMO
• Integrable Teichmüller spaces
• Teichmüller space of circle diffeomorphisms with Hölder continuous derivatives
• Weil-Petersson Teichmüller space. II: Smoothness of flow curves of \(H^{\frac{3}{2}} \)-vector fields
• The geometry of the universal Teichmüller space and the Euler-Weil-Petersson equation
• A non-standard integral equation with applications to quasi-conformal mappings
• On mappings, conformal at the boundary
• Löwnersche Differentialgleichung und Schlichtheitskriterien
• Quasiconformal reflections
• Injectivity, quasiconformal reflections and the logarithmic derivative
• Symmetric Structures on a Closed Curve
• On smoothness of symmetric mappings
• Weil-Petersson Teichmüller space
• Continuity of the barycentric extension of circle diffeomorphisms with Hölder continuous derivative
• On smoothness of symmetric mappings II
• Quasiconformal Self-Mappings with Smooth Boundary Values
• Injectivity of the quotient Bers embedding of Teichmüller spaces
• A Hilbert manifold structure on the Weil–Petersson class Teichmüller space of bordered Riemann surfaces
• Weil-Petersson metric on the universal Teichmüller space
• Introduction of a complex structure on the p-integrable Teichmüller space
• Holomorphic contractibility and other properties of the Weil-Petersson and VMOA Teichmüller spaces
• Integrable Teichmüller space

This page was built for publication: On Teichmüller space of circle diffeomorphisms with Hölder continuous derivative