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arXiv · 1009.2518

Multipliers of Laplace Transform Type for Laguerre and Hermite Expansions

Pablo L. De Nápoli·Irene Drelichman·Ricardo G. Durán
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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.

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Pablo L. De Nápoli, Irene Drelichman, Ricardo G. Durán. 2011-01-25. Multipliers of Laplace Transform Type for Laguerre and Hermite Expansions. https://arxiv.org/abs/1009.2518

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