The \((L^p,\dot F_p^{\beta,\infty}\))-boundedness of commutators of multipliers

DOI10.1007/s10114-004-0457-5zbMath1092.42004OpenAlexW1973372507MaRDI QIDQ2581203

Pu Zhang, Jiecheng Chen

Publication date: 9 January 2006

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

Full work available at URL: https://doi.org/10.1007/s10114-004-0457-5

zbMATH Keywords

Lipschitz spaceboundednessmultipliercommutatorTriebel-Lizorkin spaceCalderón-Zygmund singular integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)

Related Items (4)

Weighted Lipschitz estimates for multilinear commutator of multiplier operator ⋮ Mean oscillation and boundedness of multilinear operator related to multiplier operator ⋮ Commutators of multipliers on Hardy spaces ⋮ Boundedness on Orlicz space of Toeplitz type operators related to multiplier operator and mean oscillation

Cites Work

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• Weighted Hardy spaces
• Factorization theorems for Hardy spaces in several variables
• Mean oscillation and commutators of singular integral operators
• Multilinear singular integrals with rough kernel
• Compensated compactness and Hardy spaces
• Boundedness of commutators on Hardy type spaces
• Results on Weighted Norm Inequalities for Multipliers
• Lipschitz estimates for generalized commutators of fractional integrals with rough kernel
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss

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