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...

Descripción completa

Guardado en:
Detalles Bibliográficos
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
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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.

Ejemplares similares