Two new Lipschitz type spaces and their characterizations

DOI10.1007/s10114-022-1090-xzbMath1498.42034OpenAlexW4283326695MaRDI QIDQ2084820

Yan, Dunyan, Ming-quan Wei

Publication date: 13 October 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-1090-x

zbMATH Keywords

Hardy operatorcommutatorfractional maximal operatorweak central bounded mean oscillation spaceweak Lipschitz space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Cites Work

• Commutators of multi-sublinear maximal functions with Lipschitz functions
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• CBMO estimates for multilinear Hardy operators
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• Two characterizations of central BMO space via the commutators of Hardy operators
• Sharp bounds for fractional conjugate Hardy operator on higher-dimensional product spaces
• Sublinear operators on block-type spaces
• Characterization of the central Campanato space via the commutator operator of Hardy type
• Characterization for commutators of \(n\)-dimensional fractional Hardy operators
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• Best Constants for Two Nonconvolution Inequalities
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• A note on the best constants in some Hardy inequalities
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