{
  "id": "2102.01277",
  "version": "v1",
  "published": "2021-02-02T03:28:26.000Z",
  "updated": "2021-02-02T03:28:26.000Z",
  "title": "On weighted compactness of commutators of Schrödinger operators",
  "authors": [
    "Qianjun He",
    "Pengtao Li"
  ],
  "comment": "25pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Let $\\mathcal{L}=-\\Delta+\\mathit{V}(x)$ be a Schr\\\"{o}dinger operator, where $\\Delta$ is the Laplacian operator on $\\mathbb{R}^{d}$ $(d\\geq 3)$, while the nonnegative potential $\\mathit{V}(x)$ belongs to the reverse H\\\"{o}lder class $B_{q}, q>d/2$. In this paper, we study weighted compactness of commutators of some Schr\\\"{o}dinger operators, which include Riesz transforms, standard Calder\\'{o}n-Zygmund operatos and Littlewood-Paley functions. These results generalize substantially some well-know results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-02T03:28:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schrödinger operators",
      "commutators",
      "laplacian operator",
      "littlewood-paley functions",
      "riesz transforms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}