Beltrami Equation with Coefficient in Sobolev and Besov Spaces

DOI10.4153/CJM-2013-001-7zbMath1294.30036arXiv1204.3794OpenAlexW2077914640MaRDI QIDQ2862941

Joan Mateu, Joan Orobitg, Victor Cruz

Publication date: 20 November 2013

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3794

zbMATH Keywords

Sobolev spacesCalderón-Zygmund operatorsquasiregular mappingsBeltrami equation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Elliptic equations and elliptic systems (35J99) Quasiconformal mappings in the complex plane (30C62)

Related Items (25)

Distributional solutions of the Beltrami equation ⋮ Regularity of the Beurling transform in smooth domains ⋮ Compactness of Riesz transform commutator associated with Bessel operators ⋮ Regularity estimates for the parabolic \(p (x, t)\)-Laplacian equation in Besov spaces ⋮ A T(1) theorem for fractional Sobolev spaces on domains ⋮ Regularity of \(\mathcal C^1\) and Lipschitz domains in terms of the Beurling transform ⋮ Besov regularity for solutions of \(p\)-harmonic equations ⋮ Besov estimates for weak solutions of a class of quasilinear parabolic equations with general growth ⋮ Beltrami equations in the plane and Sobolev regularity ⋮ Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations ⋮ Wavelet representation of singular integral operators ⋮ Weighted Sobolev estimates of the truncated Beurling operator ⋮ Smoothness of the Beurling transform in Lipschitz domains ⋮ Characterization for stability in planar conductivities ⋮ TheA-integral and restricted Ahlfors–Beurling transform ⋮ Restricted Beurling transforms on Campanato spaces ⋮ DISCRETE AHLFORS-BEURLING TRANSFORM AND ITS PROPERTIES ⋮ Besov estimates for weak solutions of the parabolic \(p\)-Laplacian equations ⋮ Fractional differentiability for solutions of nonlinear elliptic equations ⋮ Besov regularity estimates for the elliptic \(p(x)\)-Laplacian equation with the logarithmic growth ⋮ Unnamed Item ⋮ The conjugate Beltrami equation with coefficient in Morrey spaces ⋮ Sobolev regularity of quasiconformal mappings on domains ⋮ A T(P) theorem for Sobolev spaces on domains ⋮ Besov estimates for the weak solutions of a class of quasilinear elliptic equations

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