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 boundedness with respect to the Laguerre measure. A similar result is known in the Hermite context.
Weak-type inequalities for conjugate first-order Riesz-Laguerre Transforms
SASSO, EMANUELA;
2011-01-01
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 boundedness with respect to the Laguerre measure. A similar result is known in the Hermite context.
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