  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 \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}.
