Commutators generated by multilinear Calderón-Zygmund type singular integral and Lipschitz functions

DOI10.1007/s10255-014-0433-5zbMath1304.42043OpenAlexW2010527967MaRDI QIDQ477530

Lu, Shanzhen, Hui Xia Mo

Publication date: 9 December 2014

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-014-0433-5

zbMATH Keywords

Lipschitz spacecommutatorTriebel-Lizorkin spacemultilinear Calderón-Zygmud type singular integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (8)

Estimates for iterated commutators of multilinear square functions with Dini-type kernels ⋮ Iterated commutators of multilinear maximal square functions on some function spaces ⋮ Multilinear commutators of multilinear strongly singular integral operators with generalized kernels ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Commutators of multilinear Calderón–Zygmund operators with Dini type kernels on some function spaces ⋮ Iterated commutators of multilinear Calderón-Zygmund maximal operators on some function spaces ⋮ The Weighted Morrey Boundedness of Multilinear Singular Integral Operators on RD-Spaces

Cites Work

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• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• Multilinear estimates and fractional integration
• Multilinear Calderón-Zygmund theory
• On multilinear singular integrals of Calderón-Zygmund type
• On Commutators of Singular Integrals and Bilinear Singular Integrals
• Maximal operator and weighted norm inequalities for multilinear singular integrals
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
• Multilinear Calderón-Zygmund operators on Hardy spaces

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