Singular integral operators in Zygmund spaces on domains

DOI10.1007/s10958-022-05786-zzbMath1491.42023arXiv1801.01023OpenAlexW4226516597MaRDI QIDQ2146186

Yanyan Li

Publication date: 16 June 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01023

zbMATH Keywords

Calderón-Zygmund operatorextra cancellation property

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Cites Work

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• Extra cancellation of even Calderón-Zygmund operators and quasiconformal mappings
• Generalizations of Lipschitz spaces and an application to Hardy spaces and bounded mean oscillation
• On functions with conditions on the mean oscillation
• A T(P) theorem for Sobolev spaces on domains
• Sobolev regularity of the Beurling transform on planar domains
• On convolution operators leaving \(L^{p,\lambda}\) spaces invariant
• Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
• Besov Spaces on Domains in ℝ d
• ON THE BOUNDEDNESS OF A SINGULAR INTEGRAL OPERATOR IN THE SPACE $ C^{\alpha}(\overline G)$
• A T1 theorem and Calderón–Zygmund operators in Campanato spaces on domains
• Mean Oscillation Over Cubes and Holder Continuity