A Transference Result of the L
p
Continuity from Jacobi Riesz Transform to the Gaussian and Laguerre Riesz Transforms |
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| Authors: | Eduard Navas Wilfredo O Urbina |
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| Institution: | 1. Departmento de Matemáticas, Universidad Nacional Experimental Francisco de Miranda, Punto Fijo, Venezuela
2. Department of Mathematics and Actuarial Sciences, Roosevelt University, Chicago, IL, 60605, USA
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| Abstract: | In this paper we develop a transference method to obtain the Gaussian-Riesz transform’s L p -continuity and the Laguerre-Riesz transform’s L p -continuity from the L p -continuity of the Jacobi-Riesz transform, in dimension one, using the well known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials. |
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