# Fractional integration for Laguerre expansions

```@article{Gasper1994FractionalIF,
title={Fractional integration for Laguerre expansions},
author={George Gasper and Krzysztof Stempak and Walter Trebels},
journal={Methods and applications of analysis},
year={1994},
volume={2},
pages={67-75}
}```
• Published 31 August 1994
• Mathematics
• Methods and applications of analysis
The 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 [5]. We combine this result with sufficient (p, p) multiplier criteria of Stempak and Trebels [10]. The resulting sufficient (p, q) multiplier criteria are comparable with necessary ones of Gasper and Trebels [3]. Our notation is essentially that in [10]. Thus…

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