Norm inequalities for fractional integrals of Laguerre and Hermite expansions

DOI10.2748/TMJ/1178224609zbMath0987.26006OpenAlexW2055295036MaRDI QIDQ1587379

George Gasper, Walter Trebels

Publication date: 18 June 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224609

zbMATH Keywords

Hankel transformsfractional integrationweighted Lebesgue spacesLaguerre and Hermite expansions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Linear operators on function spaces (general) (47B38) Inequalities for sums, series and integrals (26D15)

Related Items (1)

Potential operators associated with Jacobi and Fourier-Bessel expansions

Cites Work

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• Weighted Norm Inequalities for the Riemann-Liouville and Weyl Fractional Integral Operators
• A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers
• On Connections Between Hankel, Laguerre and Heisenberg Multipliers
• The Hardy-Littlewood Theorem on Fractional Integration for Laguerre Series
• Mean Cesaro Summability of Laguerre and Hermite Series

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