{
  "id": "math-ph/0309065",
  "version": "v1",
  "published": "2003-09-30T18:17:55.000Z",
  "updated": "2003-09-30T18:17:55.000Z",
  "title": "An analytical proof of Hardy-like inequalities related to the Dirac operator",
  "authors": [
    "J. Dolbeault",
    "M. J. Esteban",
    "M. Loss",
    "L. Vega"
  ],
  "comment": "LaTex, 22 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral information about the Dirac-Coulomb operator. Our results are stated under optimal conditions on the asymptotics of the potentials near zero and near infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-09-30T18:17:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35Q75",
      "46N50",
      "81Q10"
    ],
    "keywords": [
      "dirac operator",
      "hardy-like inequalities",
      "analytical proof",
      "sharp hardy type inequalities",
      "optimal conditions"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.ph...9065D"
    }
  }
}