A revisit on commutators of linear and bilinear fractional integral operator

DOI10.2748/tmj/1561082600zbMath1422.42014arXiv1604.06992OpenAlexW2962759150WikidataQ127680091 ScholiaQ127680091MaRDI QIDQ2272816

Ming Ming Cao, Qing Ying Xue

Publication date: 20 September 2019

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06992

zbMATH Keywords

paraproductcommutatorHaar functiondyadic analysisbilinear fractional integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (47G10)

Cites Work

• Sharp norm inequalities for commutators of classical operators
• Weighted estimates for a class of multilinear fractional type operators
• A characterization of product BMO by commutators.
• Why the Riesz transforms are averages of the dyadic shifts?
• Bloom's inequality: commutators in a two-weight setting
• Characterizations of bounded mean oscillation through commutators of bilinear singular integral operators
• Commutators with fractional integral operators
• Multiparameter Riesz commutators
• A Commutator Theorem and Weighted BMO
• Two Weight Inequalities for Iterated Commutators with Calder\'on-Zygmund Operators
• Upper bound for multi-parameter iterated commutators

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