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

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

2012-02-26

arxiv.org/abs/1202.5728v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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