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arXiv · 0803.3309

Higher Order Riesz Transforms for Laguerre Expansions

Jorge J. Betancor·Juan C. Fariña·Lourdes Rodriguez-Mesa·Alejandro Sanabria-Garcia
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Abstract

In this paper we investigate Lp-boundedness properties for the higher order Riesz transforms associated with Laguerre operators. Also we prove that the k-th Riesz transform is a principal value singular integral operator (modulus a constant times of the function when k is even). To establish our results we exploit a new identity connecting Riesz transforms in the Hermite and Laguerre settings.

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Jorge J. Betancor, Juan C. Fariña, Lourdes Rodriguez-Mesa, Alejandro Sanabria-Garcia. 2008-03-24. Higher Order Riesz Transforms for Laguerre Expansions. https://arxiv.org/abs/0803.3309

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