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

2019/02/05 by Arenas, Alberto, Ciaurri, Óscar, Labarga, Edgar
#42C10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.01761

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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