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

2012/02/26 by Eduard Navas, Navas, Eduard, Wilfredo O. Urbina +1
Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.AP #math.CA

paper · pdf · doi:10.48550/arxiv.1202.5728

arxiv created 2012/02/26 · arxiv updated 2012/02/28

Abstract

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.

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