Compactness properties of commutators of bilinear fractional integrals

DOI10.1007/s00209-015-1437-4zbMath1331.42015arXiv1310.3865OpenAlexW2059440340WikidataQ61611258 ScholiaQ61611258MaRDI QIDQ2349908

Árpád Bényi, Kabe Moen, Wendolín Damián, Rodolfo H. Torres

Publication date: 18 June 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3865

zbMATH Keywords

singular integralsbilinear operatorscommutatorscompact operatorsfractional integralsweighted estimatesCalderón-Zygmund theory

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators defined by compactness properties (47B07) Integral, integro-differential, and pseudodifferential operators (47G99)

Related Items (22)

On weighted compactness of commutators of bilinear maximal Calderón-Zygmund singular integral operators ⋮ On weighted compactness of commutators related with Schrödinger operators ⋮ Extrapolation for multilinear compact operators and applications ⋮ Necessary and sufficient conditions for boundedness of commutators of bilinear Hardy-Littlewood maximal function ⋮ On weighted compactness of commutator of semi-group maximal function and fractional integrals associated to Schrödinger operators ⋮ Sharp estimates for commutators of bilinear operators on Morrey type spaces ⋮ Commutators, BMO, Hardy spaces and factorization: a survey ⋮ On weighted boundedness and compactness of commutators of Marcinkiewicz integral associated with Schrödinger operators ⋮ Weighted \(L^p\)-boundedness and \(L^p\)-compactness criteria to commutators of operators with kernels satisfying Hörmander type estimates ⋮ On weighted compactness of commutators of square function and semi-group maximal function associated to Schrödinger operators ⋮ Characterization of compactness of the commutators of bilinear fractional integral operators ⋮ $L^p$ compactness for Calderón type commutators ⋮ Unnamed Item ⋮ Compactness of the commutators of intrinsic square functions on weighted Lebesgue spaces ⋮ Characterization of CMO via compactness of the commutators of bilinear fractional integral operators ⋮ Boundedness and compactness of commutators for bilinear fractional integral operators on Morrey spaces ⋮ VMO spaces associated with Neumann Laplacian ⋮ Extrapolation of compactness on weighted spaces: bilinear operators ⋮ On weighted boundedness and compactness of operators generated by fractional heat semigroups related with Schrödinger operators ⋮ Boundedness and compactness for the commutators of bilinear operators on Morrey spaces ⋮ Compact bilinear commutators: the weighted case ⋮ Weighted compactness for Calderón type commutators and oscillatory operators

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