Characterization of compactness of commutators of bilinear singular integral operators

DOI10.1090/PROC/14050zbMath1410.42017arXiv1709.01701OpenAlexW2964305828WikidataQ60514397 ScholiaQ60514397MaRDI QIDQ4577168

Rodolfo H. Torres, Yanchang Han, Peng Chen, Lesley A. Ward, Lucas Chaffee

Publication date: 17 July 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01701

zbMATH Keywords

singular integralsbilinear operatorscommutatorscompact operatorsCalderón-Zygmund theorybounded mean oscillationCMO

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Linear operators defined by compactness properties (47B07) Integral, integro-differential, and pseudodifferential operators (47G99)

Related Items (15)

Compact bilinear commutators: the quasi-Banach space case ⋮ On weighted compactness of commutators related with Schrödinger operators ⋮ Sharp estimates for commutators of bilinear operators on Morrey type spaces ⋮ A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators ⋮ 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 relatively compact sets in quasi-Banach function spaces ⋮ On the commutators of Marcinkiewicz integrals with rough kernels in weighted Lebesgue spaces ⋮ Weighted Fréchet-Kolmogorov theorem and compactness of vector-valued multilinear operators ⋮ XMO and weighted compact bilinear commutators ⋮ Compactness of Riesz transform commutator on stratified Lie groups ⋮ On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO ⋮ Vanishing John-Nirenberg spaces ⋮ On weighted boundedness and compactness of operators generated by fractional heat semigroups related with Schrödinger operators

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• Weak Factorizations of the Hardy Space H¹(ℝⁿ) in Terms of Multilinear Riesz Transforms
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