Multipliers of Laplace transform type for Laguerre and Hermite expansions

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...

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Autores principales: De Nápoli, P.L., Drelichman, I., Duran, R.G.
Formato: JOUR
Materias:
Fractional integration
Harmonic oscillator
Hermite expansions
Laguerre expansions
Multipliers
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00393223_v203_n3_p265_DeNapoli
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00393223_v203_n3_p265_DeNapoli
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spelling todo:paper_00393223_v203_n3_p265_DeNapoli2023-10-03T14:49:46Z Multipliers of Laplace transform type for Laguerre and Hermite expansions De Nápoli, P.L. Drelichman, I. Duran, R.G. Fractional integration Harmonic oscillator Hermite expansions Laguerre expansions Multipliers 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. Fil:De Nápoli, P.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Drelichman, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Duran, R.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00393223_v203_n3_p265_DeNapoli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fractional integration
Harmonic oscillator
Hermite expansions
Laguerre expansions
Multipliers
spellingShingle Fractional integration
Harmonic oscillator
Hermite expansions
Laguerre expansions
Multipliers
De Nápoli, P.L.
Drelichman, I.
Duran, R.G.
Multipliers of Laplace transform type for Laguerre and Hermite expansions
topic_facet Fractional integration
Harmonic oscillator
Hermite expansions
Laguerre expansions
Multipliers
description 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.
format JOUR
author De Nápoli, P.L.
Drelichman, I.
Duran, R.G.
author_facet De Nápoli, P.L.
Drelichman, I.
Duran, R.G.
author_sort De Nápoli, P.L.
title Multipliers of Laplace transform type for Laguerre and Hermite expansions
title_short Multipliers of Laplace transform type for Laguerre and Hermite expansions
title_full Multipliers of Laplace transform type for Laguerre and Hermite expansions
title_fullStr Multipliers of Laplace transform type for Laguerre and Hermite expansions
title_full_unstemmed Multipliers of Laplace transform type for Laguerre and Hermite expansions
title_sort multipliers of laplace transform type for laguerre and hermite expansions
url http://hdl.handle.net/20.500.12110/paper_00393223_v203_n3_p265_DeNapoli
work_keys_str_mv AT denapolipl multipliersoflaplacetransformtypeforlaguerreandhermiteexpansions
AT drelichmani multipliersoflaplacetransformtypeforlaguerreandhermiteexpansions
AT duranrg multipliersoflaplacetransformtypeforlaguerreandhermiteexpansions
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