Geodesic
Multipliers of Laplace transform type for Laguerre and Hermite expansions
Pablo L. De Nápoli1 ; Irene Drelichman1 ; Ricardo G. Durán1
1 Departamento de Matemática Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires Ciudad Universitaria 1428 Buenos Aires, Argentina
Studia Mathematica, Tome 203 (2011) no. 3, pp. 265-290

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present a new criterion for the weighted $L^p$-$L^q$ 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.
DOI : 10.4064/sm203-3-4
Mots-clés : present criterion weighted p l boundedness multiplier operators laguerre hermite expansions arise laplace stieltjes transform special recover known results weighted estimates laguerre hermite fractional integrals unified simpler approach

Pablo L. De Nápoli 1 ; Irene Drelichman 1 ; Ricardo G. Durán 1

1 Departamento de Matemática Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires Ciudad Universitaria 1428 Buenos Aires, Argentina 
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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 203 (2011) no. 3, pp. 265-290. doi: 10.4064/sm203-3-4

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