✦ LIBER ✦

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

✍ Scribed by E. Kochneff

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 333 KB
Volume: 91
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1996.3089

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✦ Synopsis

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 the L p norm for some p outside the standard range of (4Â3, 4).