Compact bilinear commutators: the quasi-Banach space case

DOI10.1007/S41478-018-0144-ZzbMath1402.42021OpenAlexW2899732386WikidataQ128970173 ScholiaQ128970173MaRDI QIDQ1628480

Jingquan Yan, Rodolfo H. Torres, Qing Ying Xue

Publication date: 4 December 2018

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-018-0144-z

zbMATH Keywords

BMOCalderón-Zygmund operatorsquasi-Banach spacescommutatorscompact bilinear operators

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 (7)

Characterization of compactness of commutators of bilinear singular integral operators ⋮ A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators ⋮ Weighted Fréchet-Kolmogorov theorem and compactness of vector-valued multilinear operators ⋮ XMO and weighted compact bilinear commutators ⋮ On the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operator ⋮ Compactness interpolation results for bilinear operators of convolution type and for operators of product type ⋮ On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO

Cites Work

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• On the compactness of space $L^p(p>0)$ and its application to integral equations
• Weighted estimates for vector-valued commutators of multilinear operators

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