Higher order commutators of fractional integral operator on the homogeneous Herz spaces with variable exponent

DOI10.1155/2013/257537zbMath1383.42023OpenAlexW2027099327WikidataQ59013838 ScholiaQ59013838MaRDI QIDQ352562

Lisheng Shu, Meng Qu, Liwei Wang

Publication date: 5 July 2013

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/257537

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Commutators, derivations, elementary operators, etc. (47B47) Integral operators (45P05)

Cites Work

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• Commutators of fractional integrals on Lebesgue and herz spaces with variable exponent
• Boundedness of commutators on Herz spaces with variable exponent
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• A note on Riesz potentials
• Boundedness of sublinear operators with rough kernels on weighted Morrey spaces
• Characterization for commutators of \(n\)-dimensional fractional Hardy operators
• Boundedness of commutators on Hardy type spaces
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
• Hardy-Littlewood maximal operator on L^p(x) (ℝ)
• Hardy-Littlewood-Sobolev Theorems of Fractional Integration on Herz-Type Spaces and its Applications

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