Rough fractional integrals and its commutators on variable Morrey spaces

DOI10.1016/j.crma.2015.09.024zbMath1342.42016OpenAlexW1897298645MaRDI QIDQ5965094

Ji Man Zhao, Jian Tan

Publication date: 2 March 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.09.024

zbMATH Keywords

commutatorsfractional maximal operatorrough fractional integralsvariable Lebesgue spacesvariable Morrey spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

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Cites Work

• Hardy spaces with variable exponents and generalized Campanato spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Fractional integrals on variable Hardy-Morrey spaces
• Commutators of fractional integrals on Lebesgue and herz spaces with variable exponent
• Lebesgue and Sobolev spaces with variable exponents
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• Atomic decomposition of Hardy spaces and characterization of \(BMO\) via Banach function spaces
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• Boundedness of fractional integral operators with rough kernels on weighted Morrey spaces
• Weighted Norm Inequalities for Fractional Integrals
• The fractional integral operators on Morrey spaces with variable exponent on unbounded domains
• Variable Hardy Spaces
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