Discrete Harmonic Analysis associated with Jacobi expansions II: the Riesz transform

Abstract

This paper is the continuation of the study on discrete harmonic analysis related to Jacobi expansions initiated in [1]. Considering the operator J(α,β)=J(α,β)-I, where J(α,β) is the three-term recurrence relation for the normalized Jacobi polynomials and I is the identity operator, we focus on the study of weighted inequalities for the Riesz transform associated with it.

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