On dimension-free and potential-free estimates for Riesz transforms associated with Schrödinger operators

2024/12/27 by Jacek Dziubański, Dziubański, Jacek
Mathematics · #42B20 #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2412.19922

openalex publication_date 2024/12/27 · openalex created_date 2025/01/01 · openalex updated_date 2026/07/28

Abstract

Let L=-Δ+ V(x) be a Schrödinger operator on \mathbb R^d, where V(x)≥ 0, V∈ L²_{\rm loc} (\mathbb R^d). We give a short proof of dimension free L^p(\mathbb R^d) estimates, 1

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