Boundedness for commutators of fractional integrals on Herz-Morrey spaces with variable exponent

DOI10.1215/21562261-2693397zbMath1310.42009arXiv1304.4410OpenAlexW2036597210MaRDI QIDQ2258605

Jiang-Long Wu

Publication date: 26 February 2015

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4410

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33)

Related Items

Boundedness for higher order commutators of fractional integrals on variable exponent Herz-Morrey spaces ⋮ Operators on Herz-Morrey spaces with variable exponents ⋮ Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces ⋮ Unnamed Item ⋮ Two weighted Herz spaces with variable exponents

Cites Work

• Maximal, potential and singular type operators on Herz spaces with variable exponents
• Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization
• Commutators of fractional integrals on Lebesgue and herz spaces with variable exponent
• Fractional integrals on Herz-Morrey spaces with variable exponent
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• An example of a space of \(L^{p(x)}\) on which the Hardy-Littlewood maximal operator is not bounded
• Boundedness of some sublinear operators on Herz spaces
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces
• Infimal convolution and Muckenhoupt \(A_{p(\cdot)}\) condition in variable \(L^p\) spaces
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• On some questions related to the maximal operator on variable 𝐿^{𝑝} spaces
• Interpolation of Herz Spaces and Applications
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Hardy-Littlewood maximal operator on L^p(x) (ℝ)
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