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
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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
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Palabras clave: | Fractional integration; Harmonic oscillator; Hermite expansions; Laguerre expansions; Multipliers |
Año: | 2011
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Volumen: | 203
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Número: | 3
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Página de inicio: | 265
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Página de fin: | 290
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DOI: |
http://dx.doi.org/10.4064/sm203-3-4 |
Título revista: | Studia Mathematica
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Título revista abreviado: | Stud. Math.
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ISSN: | 00393223
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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