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In this paper using the well known asymptotic relations between Jacobipolynomials and Hermite and Laguerre polynomials. We develop a transferencemethod to obtain the $L^p$-continuity of the Gaussian-Riesz transform and the$L^p$-continuity of the Laguerre-Riesz transform from the $L^p$-continuity ofthe Jacobi-Riesz transform, in dimension one.

A transference result of the $L^p$ continuity of the Jacobi Riesz transform to the Gaussian and Laguerre Riesz transforms