Beurling–Ahlfors extension by heat kernel, A∞‐weights for VMO, and vanishing Carleson measures

DOI10.1112/blms.12454zbMath1483.30054arXiv2008.00897OpenAlexW3118637367MaRDI QIDQ5006385

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Publication date: 13 August 2021

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00897

zbMATH Keywords

BMOheat kernelVMOquasiconformal extensionvanishing Carleson measure\(A^{\infty}\)-weight

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62)

Related Items

A description of 𝐴_{∞}-weights for VMO ⋮ The \(p\)-Weil-Petersson Teichmüller space and the quasiconformal extension of curves ⋮ Strongly symmetric homeomorphisms on the real line with uniform continuity ⋮ The \(p\)-integrable Teichmüller space for \(p \geqslant 1\) ⋮ BMO embeddings, chord-arc curves, and Riemann mapping parametrization ⋮ The VMO-Teichmüller space and the variant of Beurling-Ahlfors extension by heat kernel ⋮ VMO-Teichmüller space on the real line

Cites Work

• The boundary correspondence under quasiconformal mappings
• The theory of weights and the Dirichlet problem for elliptic equations
• On mappings, conformal at the boundary
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• A Description of Weights Satisfying the A ∞ Condition of Muckenhoupt
• Quasiconformal Mappings and Chord-Arc Curves
• Weighted norm inequalities for maximal functions and singular integrals
• VMO-Teichmüller space on the real line

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