A note on the boundedness of iterated commutators of multilinear operators

DOI10.1134/S0001434622070057zbMath1496.42027OpenAlexW4293795130WikidataQ114075378 ScholiaQ114075378MaRDI QIDQ2170487

Dinghuai Wang

Publication date: 6 September 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622070057

zbMATH Keywords

boundednessLebesgue spacecommutatorBMO functionHardy-Littlewood maximal function

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (2)

Necessary and sufficient conditions for boundedness of commutators of bilinear Hardy-Littlewood maximal function ⋮ The necessity theory for commutators of multilinear singular integral operators: the weighted case

Cites Work

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• A note on Campanato spaces and their applications
• Multiple weighted estimates for commutators of multilinear maximal function
• New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
• Factorization theorems for Hardy spaces in several variables
• Characterization of CMO via compactness of the commutators of bilinear fractional integral operators
• \(H^p\) spaces of several variables
• Characterizations of bounded mean oscillation through commutators of bilinear singular integral operators
• SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
• Maximal functions measuring smoothness
• End-point estimates for iterated commutators of multilinear singular integrals
• Weighted estimates for vector-valued commutators of multilinear operators

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