Higher Order Riesz Transforms for Laguerre Expansions
Classical Analysis and ODEs
2008-03-25 v1
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.
Cite
@article{arxiv.0803.3309,
title = {Higher Order Riesz Transforms for Laguerre Expansions},
author = {Jorge J. Betancor and Juan C. Fariña and Lourdes Rodriguez-Mesa and Alejandro Sanabria-Garcia},
journal= {arXiv preprint arXiv:0803.3309},
year = {2008}
}