Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type and applications

DOI10.7153/jmi-2019-13-76zbMath1434.42026arXiv1605.07449OpenAlexW3000974099WikidataQ126304795 ScholiaQ126304795MaRDI QIDQ5217469

Pu Zhang, Jie Sun

Publication date: 28 February 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07449

zbMATH Keywords

paraproductcommutatormultilinear Calderón-Zygmund operatorvariable exponent Lebesgue spacemultiple weightbilinear pseudo-differential operator

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) Pseudodifferential operators as generalizations of partial differential operators (35S05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Pseudodifferential operators (47G30)

Related Items

New weighted norm inequalities for multilinear singular integral operators with generalized kernels and their commutators ⋮ Two weighted estimates for the commutators of multilinear maximal singular integral operators with Dini-type kernels ⋮ Weighted Lipschitz estimates for commutators of multilinear Calderón-Zygmund operators with Dini type kernels ⋮ Multilinear commutators of multilinear strongly singular integral operators with generalized kernels ⋮ Multiple weighted estimates for bilinear Calderón-Zygmund operator and its commutator on non-homogeneous spaces ⋮ Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type on generalized weighted Morrey spaces and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Calderón-Zygmund operators with kernels of Dini's type on generalized weighted variable exponent Morrey spaces ⋮ Calderón-Zygmund operators with kernels of Dini's type and their multilinear commutators on generalized variable exponent Morrey spaces

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