Weak-Type Inequality for Conjugate First Order Riesz-Laguerre Transforms |
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| Authors: | L. Forzani E. Sasso R. Scotto |
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| Affiliation: | 1. Departamento de Matem??tica, Universidad Nacional del Litoral and IMAL-CONICET, Santa Fe, 3000, Argentina
2. Dipartimento di Matematica, Universit?? degli Studi di Genova, Via Dodecaneso 35, Genova, 16146, Italy
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| Abstract: | In this paper we introduce a conjugate class of Riesz transforms in the context of Laguerre polynomials. We prove their weak-type (1,1) and L p , 1<p<∞, boundedness with respect to the Laguerre measure. A similar result is known in the Hermite context, see Aimar et al. (Trans. Am. Math. Soc. 359(5), 2137–2154, 2007). |
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