A class of commutators for multilinear fractional integrals in nonhomogeneous spaces

DOI10.1155/2008/373050zbMath1157.47042OpenAlexW2108308488WikidataQ59218178 ScholiaQ59218178MaRDI QIDQ949006

Jiali Lian, Huo Xiong Wu

Publication date: 16 October 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129690

zbMATH Keywords

commutatornonhomogeneous spaceRBMO function(multilinear) fractional integral

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Commutators, derivations, elementary operators, etc. (47B47) Multilinear and polynomial operators (47H60)

Related Items (10)

Endpoint estimates for multilinear singular integral operators ⋮ Multilinear fractional integral operators on non-homogeneous metric measure spaces ⋮ Multiple weighted estimates for commutators of multilinear fractional integral operators ⋮ Multilinear singular integral operators with generalized kernels and their multilinear commutators ⋮ Commutators of weighted Lipschitz functions and multilinear singular integrals with non-smooth kernels ⋮ Characterization of compactness of the commutators of bilinear fractional integral operators ⋮ Endpoint estimates for multilinear fractional integrals with non-doubling measures ⋮ Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications ⋮ Multilinear Riesz potential on Morrey-Herz spaces with non-doubling measures ⋮ Compactness properties of commutators of bilinear fractional integrals

Cites Work

• Boundedness of multilinear singular integrals for non-doubling measures
• Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures
• Multilinear Calderón-Zygmund theory
• Multilinear commutators of singular integrals with non doubling measures
• SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
• Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces

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