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Abstract:

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. © Instytut Matematyczny PAN, 2011.

Registro:

Documento: Artículo
Título:Multipliers of Laplace transform type for Laguerre and Hermite expansions
Autor:De Nápoli, P.L.; Drelichman, I.; Duran, R.G.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Palabras clave:Fractional integration; Harmonic oscillator; Hermite expansions; Laguerre expansions; Multipliers
Año:2011
Volumen:203
Número:3
Página de inicio:265
Página de fin:290
DOI: http://dx.doi.org/10.4064/sm203-3-4
Título revista:Studia Mathematica
Título revista abreviado:Stud. Math.
ISSN:00393223
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v203_n3_p265_DeNapoli

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Citas:

---------- APA ----------
De Nápoli, P.L., Drelichman, I. & Duran, R.G. (2011) . Multipliers of Laplace transform type for Laguerre and Hermite expansions. Studia Mathematica, 203(3), 265-290.
http://dx.doi.org/10.4064/sm203-3-4
---------- CHICAGO ----------
De Nápoli, P.L., Drelichman, I., Duran, R.G. "Multipliers of Laplace transform type for Laguerre and Hermite expansions" . Studia Mathematica 203, no. 3 (2011) : 265-290.
http://dx.doi.org/10.4064/sm203-3-4
---------- MLA ----------
De Nápoli, P.L., Drelichman, I., Duran, R.G. "Multipliers of Laplace transform type for Laguerre and Hermite expansions" . Studia Mathematica, vol. 203, no. 3, 2011, pp. 265-290.
http://dx.doi.org/10.4064/sm203-3-4
---------- VANCOUVER ----------
De Nápoli, P.L., Drelichman, I., Duran, R.G. Multipliers of Laplace transform type for Laguerre and Hermite expansions. Stud. Math. 2011;203(3):265-290.
http://dx.doi.org/10.4064/sm203-3-4