On weighted compactness of commutators of Schrödinger operators

2021/02/02 by He, Qianjun, Li, Pengtao
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2102.01277

Abstract

Let L=-Δ+V(x) be a Schrödinger operator, where Δ is the Laplacian operator on ℝ^d (d≥ 3), while the nonnegative potential V(x) belongs to the reverse Hölder class B_q, q>d/2. In this paper, we study weighted compactness of commutators of some Schrödinger operators, which include Riesz transforms, standard Calderón-Zygmund operatos and Littlewood-Paley functions. These results generalize substantially some well-know results.

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