Fractional Integration in Orlicz Spaces

DOI10.2307/2042043zbMath0347.46027OpenAlexW4248998171MaRDI QIDQ4116940

Robert C. Sharpley

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2042043

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fractional derivatives and integrals (26A33) Convexity of real functions in one variable, generalizations (26A51) Other analytical inequalities (26D20)

Related Items (2)

Boundedness of fractional integral operators on Musielak–Orlicz Hardy spaces ⋮ The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions

Cites Work

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• Convolution operators and L(p, q) spaces
• Some remarks on convolution operators and \(L(p,q)\) spaces
• Spaces \(\Lambda_\alpha\)(X) and interpolation
• Some new functional spaces
• Fractional Integration in Orlicz Spaces. I
• The Hilbert Transform on Rearrangement-Invariant Spaces

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