Multipliers of Laplace transform type for Laguerre and Hermite expansions
Pablo L. De Nápoli ; Irene Drelichman ; Ricardo G. Durán
Studia Mathematica, Tome 204 (2011), p. 265-290 / Harvested from The Polish Digital Mathematics Library
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We present a new criterion for the weighted Lp-Lq boundedness of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we recover known results on weighted estimates for Laguerre and Hermite fractional integrals with a unified and simpler approach.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:285709 
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Pablo L. De Nápoli; Irene Drelichman; Ricardo G. Durán. Multipliers of Laplace transform type for Laguerre and Hermite expansions. Studia Mathematica, Tome 204 (2011) pp. 265-290. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm203-3-4/