Weighted Norm Inequalities for the Riemann-Liouville and Weyl Fractional Integral Operators

DOI10.2307/2001091zbMath0664.26002OpenAlexW4246253627MaRDI QIDQ3813952

Kenneth F. Andersen, Eric T. Sawyer

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001091

zbMATH Keywords

weighted norm inequalitiesRiemann-Liouville fractional integralsWeyl fractional integral

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10)

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Cites Work

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• Interpolation of Linear Operators
• Weighted Norm Inequalities for Certain Integral Operators
• On weighted norm inequalities for the maximal function
• Weighted Inequalities for the One-Sided Hardy-Littlewood Maximal Functions
• A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
• Weighted Norm Inequalities for the Hardy-Littlewood Maximal Function
• Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions
• Weighted Norm Inequalities for Fractional Integrals
• Hardy Inequalities with Mixed Norms
• A characterization of a two-weight norm inequality for maximal operators
• Weighted Norm Inequalities for Fractional Integrals

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