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math.CA2008★ 1 cited
Higher Order Riesz Transforms for Laguerre Expansions
Jorge J. Betancor, Juan C. Fariña, Lourdes Rodriguez-Mesa +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 pr…
math.CA2008★ 1 cited
Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
Jorge J. Betancor, Eleonor Harboure, Adam Nowak +1
We prove sharp power-weighted strong type, weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Pal…