George Gasper Jr, Krzysztof Stempak, Walter Trebels
Published 1994-08-31Version 1
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}.
Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions
Vector-valued extensions for fractional integrals of Laguerre expansions
On weighted transplantation and multipliers for Laguerre expansions
![QR code for arXiv:math/9408210 [math.CA]](http://oss.arxitics.com/images/favicon.svg)