Weak-Type Inequality for Conjugate First Order Riesz-Laguerre Transforms |
| |
| Authors: | L Forzani E Sasso R Scotto |
| |
| Institution: | 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
|
| |
| 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). |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
