Weighted norm inequalities for convolutions, differential operators, and generalized hypergeometric functions

DOI10.1007/s00020-012-2013-5zbMath1278.26020OpenAlexW2090954874MaRDI QIDQ1946549

Arcadii Z. Grinshpan

Publication date: 15 April 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-2013-5

zbMATH Keywords

linear differential operatorsVolterra integral equationsconvolutionsgeneralized hypergeometric seriesconfluent hypergeometric functionsintegro-differential inequalitiesseminorms for formal power seriesweighted inequalities for sums and integrals

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Gamma, beta and polygamma functions (33B15) Power series (including lacunary series) in one complex variable (30B10) Laplace transform (44A10) Inequalities for sums, series and integrals (26D15) Volterra integral equations (45D05) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Weighted convolutions associated with probability functions and Bernstein polynomials, Generalized hypergeometric functions: product identities and weighted norm inequalities, An inequality for multiple convolutions with respect to Dirichlet probability measure, Formulas and Inequalities for Some Special Functions of a Complex Variable

Cites Work

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