Weil-Petersson Teichmüller space. II: Smoothness of flow curves of \(H^{\frac{3}{2}} \)-vector fields

DOI10.1016/j.aim.2019.106891zbMath1436.30015arXiv1801.10361OpenAlexW2989223555MaRDI QIDQ2007745

Shu'an Tang, Yuliang Shen

Publication date: 22 November 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.10361

zbMATH Keywords

Sobolev classquasiconformal mappinguniversal Teichmüller spacenon-smooth flowquasi-symmetric homeomorphismWeil-Petersson Teichmüller space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) 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) Bloch spaces (30H30) BMO-spaces (30H35)

Related Items

The \(p\)-Weil-Petersson Teichmüller space and the quasiconformal extension of curves ⋮ Large deviations of Schramm-Loewner evolutions: a survey ⋮ On Teichmüller space of circle diffeomorphisms with Hölder continuous derivative ⋮ Weil-Petersson Teichmüller space revisited ⋮ The Loewner energy via the renormalised energy of moving frames ⋮ Parametrization of the \(p\)-Weil-Petersson curves: holomorphic dependence ⋮ Weil-Petersson Teichmüller space. III: Dependence of Riemann mappings for Weil-Petersson curves ⋮ Teichmüller space of circle diffeomorphisms with Zygmund smooth ⋮ Integrable Teichmüller space ⋮ The VMO-Teichmüller space and the variant of Beurling-Ahlfors extension by heat kernel ⋮ VMO-Teichmüller space on the real line ⋮ Corrigendum to: ``Weil-Petersson Teichmüller space. II: Smoothness of flow curves of \(H^{\frac{3}{2}}\)-vector fields

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