Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures

DOI10.1007/s11425-007-2073-1zbMath1113.42013OpenAlexW1976101335MaRDI QIDQ885564

Jing-shi Xu

Publication date: 14 June 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-2073-1

zbMATH Keywords

maximal functionmultilinear singular integralcommutatornon-doubling measureRMBO\((\mu)\) function

Mathematics Subject Classification ID

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

Related Items (10)

Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces ⋮ Multilinear BMO estimates for the commutators of multilinear fractional maximal and integral operators on the product generalized Morrey spaces ⋮ Endpoint estimates for multilinear singular integral operators ⋮ Multilinear fractional integral operators on non-homogeneous metric measure spaces ⋮ Multilinear strongly singular integral operators on non-homogeneous metric measure spaces ⋮ Multilinear singular integral operators with generalized kernels and their multilinear commutators ⋮ Commutators generated by multilinear Calderón-Zygmund type singular integral and Lipschitz functions ⋮ Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications ⋮ Boundedness of vector valued bilinear Calderón-Zygmund operators on products of weighted Herz-Morrey spaces with variable exponents ⋮ A class of commutators for multilinear fractional integrals in nonhomogeneous spaces

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