The \(p\)-Weil-Petersson Teichmüller space and the quasiconformal extension of curves

DOI10.1007/s12220-022-00946-8OpenAlexW3214945924MaRDI QIDQ2144232

Yanyan Li

Publication date: 1 June 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.13896

zbMATH Keywords

Besov spaceBMO functionsBeurling-Ahlfors extensionWeil-Petersson Teichmüller space\(A_\infty\)-weightsglobal Section of Teichmüller projectionintegrable Beltrami coefficients

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Multipliers in one variable harmonic analysis (42A45) Quasiconformal mappings in the complex plane (30C62) Absolutely continuous real functions in one variable (26A46) Besov spaces and (Q_p)-spaces (30H25) BMO-spaces (30H35)

Related Items

The \(p\)-integrable Teichmüller space for \(p \geqslant 1\) ⋮ Parametrization of the \(p\)-Weil-Petersson curves: holomorphic dependence ⋮ BMO embeddings, chord-arc curves, and Riemann mapping parametrization ⋮ Integrable Teichmüller space ⋮ The VMO-Teichmüller space and the variant of Beurling-Ahlfors extension by heat kernel

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