{
  "id": "1202.2061",
  "version": "v2",
  "published": "2012-02-09T17:48:24.000Z",
  "updated": "2012-02-21T23:19:49.000Z",
  "title": "Weighted estimates for commutators of some singular integrals related to Schrödinger operators",
  "authors": [
    "The Anh Bui"
  ],
  "comment": "24 pages, some references added",
  "categories": [
    "math.CA"
  ],
  "abstract": "Let $L=-\\Delta +V$ with non-negative potential $V$ satisfying some appropriate reverse H\\\"older inequality. In this paper, we study the boundedness of the commutators of some singular integrals associated to $L$ such as Riesz transforms and fractional integrals with the new BMO functions introduced in \\cite{BHS1} on the weighted spaces $L^p(w)$ where $w$ belongs to the new classes of weights introduced by \\cite{BHS2}.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-21T23:19:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "35J10"
    ],
    "keywords": [
      "singular integrals",
      "schrödinger operators",
      "weighted estimates",
      "commutators",
      "appropriate reverse"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2061B"
    }
  }
}