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arXiv · 1902.01761

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

Alberto Arenas·Óscar Ciaurri·Edgar Labarga
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Abstract

This paper is the continuation of the study on discrete harmonic analysis related to Jacobi expansions initiated in [1]. Considering the operator $\mathcal{J}^{(α,β)}=J^{(α,β)}-I$, 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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Alberto Arenas, Óscar Ciaurri, Edgar Labarga. 2019-02-05. Discrete Harmonic Analysis associated with Jacobi expansions II: the Riesz transform. https://arxiv.org/abs/1902.01761

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