Characterization of boundedness of some commutators of maximal functions in terms of Lipschitz spaces

DOI10.1007/s13324-018-0245-5OpenAlexW2887313821MaRDI QIDQ2009457

Pu Zhang

Publication date: 28 November 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00685

zbMATH Keywords

Lipschitz spacecommutatorHardy-Littlewood maximal functionsharp maximal functionvariable exponent Lebesgue spacefractional 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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Lipschitz (Hölder) classes (26A16) Commutators, derivations, elementary operators, etc. (47B47)

Related Items

Derivative bounds and continuity of maximal commutators, Characterization of Lipschitz space via the commutators of fractional maximal functions on variable Lebesgue spaces, Characterization of Lipschitz functions on ball Banach function spaces, Characterization of Lipschitz spaces via commutators of fractional maximal function on the \(p\)-adic variable exponent Lebesgue spaces, Endpoint Sobolev regularity of higher order maximal commutators, Characterizations of Lipschitz functions via the commutators of maximal function in Orlicz spaces on stratified Lie groups, Some estimates for commutators of the fractional maximal function on stratified Lie groups, Commutators of multi-sublinear maximal functions with Lipschitz functions, Commutators of some maximal functions with Lipschitz function on Orlicz spaces, Some notes on commutators of the fractional maximal function on variable Lebesgue spaces, Two new Lipschitz type spaces and their characterizations

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