A transference result of the LpL^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

Asymptotic behavior of orthogonal polynomials primitives

7 pages, no figures.-- MSC2000 codes: 42C05, 33C25.We study the zero location and the asymptotic behavior of the primitives of the standard orthogonal polynomials with respect to a finite positive Borel measure concentrate on [−1,1].Research of second (H.P.) and third (W.U.) authors partially supported by a research grant # PI 03-14-4744-2000 from Consejo de Desarrollo Científico y Humanístico (CDCH) of the Universidad Central de Venezuela.Publicad

Using Systems Engineering to Translate Research into Action

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