Weighted Norm Inequalities for Fractional Integrals with an Application to Mean Convergence of Laguerre Series Original Research Article

We prove norm inequalities with exponential weights for the Riemann–Liouville fractional integral. As an application, we show for certain functions that their Laguerre expansions will converge in theLpnorm for somepoutside the standard range of (4/3, 4).