Fractional integration for Laguerre expansions

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dc.creatorGasper Jr, George
dc.creatorStempak, Krzysztof
dc.creatorTrebels, Walter
dc.date1994-08-31
dc.date.accessioned2026-07-07T09:15:10Z
dc.date.available2026-07-07T09:15:10Z
dc.descriptionThe aim of this note is to provide a fractional integration theorem in the framework of Laguerre expansions. The method of proof consists of establishing an asymptotic estimate for the involved kernel and then applying a method of Hedberg \cite{pro}. We combine this result with sufficient $(p,p)$ multiplier criteria of Stempak and Trebels \cite{ST}. The resulting sufficient $(p,q)$ multiplier criteria are comparable with necessary ones of Gasper and Trebels \cite{laguerre}.
dc.identifierhttps://arxiv.org/abs/math/9408210
dc.identifierhttp://arxiv.org/abs/math/9408210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152926
dc.subjectClassical Analysis and ODEs
dc.titleFractional integration for Laguerre expansions
dc.typetext

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