Boundedness on Triebel-Lizorkin and Lebesgue Spaces of Multilinear Singular Integral Operators Satisfying a Variant of Hörmander’s Condition

DOI10.4208/ATA.OA-2021-0003OpenAlexW4293659496WikidataQ114021253 ScholiaQ114021253MaRDI QIDQ5094712

Dazhao Chen

Publication date: 4 August 2022

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/ata.oa-2021-0003

zbMATH Keywords

Lipschitz spacesingular integral operatormultilinear operatorTriebel-Lizorkin spacevariant of Hörmander's condition

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

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• A BMO estimate for multilinear singular integrals
• Mean oscillation and commutators of singular integral operators
• Triebel-Lizorkin space estimates for multilinear operators of sublinear operators
• The continuity of commutators on Triebel-Lizorkin spaces
• SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
• On multilinear singular integrals on $R^{n}$
• A variant of Hörmander's conditionfor singular integrals
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
• A Besov estimate for multilinear singular integrals
• Weighted boundedness for a class of rough multilinear operators

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