Weighted norm inequalities for fractional integrals with an application to mean convergence of Laguerre series

DOI10.1006/JATH.1996.3089zbMath0887.26005OpenAlexW2036189690MaRDI QIDQ1369242

Elizabeth Kochneff

Publication date: 11 January 1998

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1996.3089

zbMATH Keywords

Laguerre seriesweighted norm inequalitiesRiemann-Liouville fractional integralLaguerre expansionpower exponential weights

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

Hardy’s inequalities, Hilbert inequalities and fractional integrals on function spaces of $q$-integral $p$-variation

Cites Work

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• The special functions and their approximations. Vol. I, II
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
• Weighted Norm Inequalities for Fractional Integrals
• On Certain Convolution Inequalities
• Mean Convergence of Expansions in Laguerre and Hermite Series

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