Smoothness of the Beurling transform in Lipschitz domains

DOI10.1016/j.jfa.2012.02.023zbMath1250.42040arXiv1201.5385OpenAlexW2963476882MaRDI QIDQ425726

Xavier Tolsa, Victor Cruz

Publication date: 8 June 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5385

zbMATH Keywords

Sobolev spacesLipschitz domainsBeurling transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (47G10)

Related Items (10)

Regularity of the Beurling transform in smooth domains ⋮ Regularity of \(\mathcal C^1\) and Lipschitz domains in terms of the Beurling transform ⋮ Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations ⋮ Wavelet representation of singular integral operators ⋮ TheA-integral and restricted Ahlfors–Beurling transform ⋮ Restricted Beurling transforms on Campanato spaces ⋮ DISCRETE AHLFORS-BEURLING TRANSFORM AND ITS PROPERTIES ⋮ Unnamed Item ⋮ Sobolev regularity of quasiconformal mappings on domains ⋮ A T(P) theorem for Sobolev spaces on domains

Cites Work

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• Principal values for Riesz transforms and rectifiability
• Beltrami Equation with Coefficient in Sobolev and Besov Spaces
• Variation and oscillation for singular integrals with odd kernel on Lipschitz graphs
• Mean Oscillation and Besov Spaces
• Intrinsic characterizations of Besov spaces on Lipschitz domains

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