A+ CATEGORY SCIENTIFIC UNIT

Multipliers of Laplace transform type for Laguerre and Hermite expansions

Volume 203 / 2011

Pablo L. De Nápoli, Irene Drelichman, Ricardo G. Durán Studia Mathematica 203 (2011), 265-290 MSC: Primary 42A45; Secondary 42C10, 42A38, 33C45. DOI: 10.4064/sm203-3-4

Abstract

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.

Authors

  • Pablo L. De NápoliDepartamento de Matemática
    Facultad de Ciencias Exactas y Naturales
    Universidad de Buenos Aires
    Ciudad Universitaria
    1428 Buenos Aires, Argentina
    e-mail
  • Irene DrelichmanDepartamento de Matemática
    Facultad de Ciencias Exactas y Naturales
    Universidad de Buenos Aires
    Ciudad Universitaria
    1428 Buenos Aires, Argentina
    e-mail
  • Ricardo G. DuránDepartamento de Matemática
    Facultad de Ciencias Exactas y Naturales
    Universidad de Buenos Aires
    Ciudad Universitaria
    1428 Buenos Aires, Argentina
    e-mail

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