Higher Order Riesz Transforms for Laguerre Expansions

Details Higher Order Riesz Transforms for Laguerre Expansions Higher Order Riesz Transforms for Laguerre Expansions

2008-03-24

arxiv.org/abs/0803.3309v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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