Commutators of homogeneous fractional integrals on Herz-type Hardy spaces with variable exponent

DOI10.3103/S1068362317030049zbMath1372.42013OpenAlexW2743157928MaRDI QIDQ2014566

Hongbin Wang

Publication date: 25 August 2017

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362317030049

zbMATH Keywords

commutatorhomogeneous fractional integral operatorvariable exponentHerz-type Hardy space

Mathematics Subject Classification ID

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

Related Items (7)

Sublinear operators on Herz–Hardy spaces with variable exponents ⋮ Singular integral operators with rough kernels on central Morrey spaces with variable exponent ⋮ Boundedness of multilinear singular integrals on central Morrey spaces with variable exponents ⋮ Boundedness of singular integral operators on Herz-Morrey spaces with variable exponent ⋮ Multilinear fractional integral operators on central Morrey spaces with variable exponent ⋮ Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents ⋮ Weak type estimates of commutators on Herz type spaces with variable exponent

Cites Work

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• Hardy spaces with variable exponents and generalized Campanato spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
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• Boundedness of commutators on Herz spaces with variable exponent
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• The continuity of commutators on Herz-type spaces
• Higher order commutators for a class of rough operators
• Homogeneous fractional integrals on Hardy spaces
• The Herz-type Hardy spaces with variable exponent and their applications
• Some characterizations of Herz-type Hardy spaces with variable exponent
• Higher Order Commutators for Vector-Valued Calderon-Zygmund Operators
• Weighted Norm Inequalities for Singular and Fractional Integrals

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