A transference result of the $L^p$ continuity of the Jacobi Riesz   transform to the Gaussian and Laguerre Riesz transforms
  In this paper using the well known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials. We develop a transference method 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 of the Jacobi-Riesz transform, in dimension one. 
Eduard Navas and Wilfredo O. Urbina
math.CA math.AP