Jorge J. Betancor, Juan C. Fariña, Lourdes Rodriguez-Mesa, Alejandro Sanabria-Garcia
Published 2008-03-24Version 1
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.
Higher order Riesz transforms in the ultraspherical setting as principal value integral operators
Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions
Vector-valued extensions for fractional integrals of Laguerre expansions
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