{
  "id": "1212.1423",
  "version": "v1",
  "published": "2012-12-06T19:25:44.000Z",
  "updated": "2012-12-06T19:25:44.000Z",
  "title": "Application of multidimensional Hardy operator and its connection with a certain nonlinear differential equation in weighted variable Lebesgue spaces",
  "authors": [
    "Bandaliyev Rovshan"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper a two weight criterion for multidimensional geometric mean operator in variable exponent Lebesgue space is proved. Also, we found a criterion on weight functions expressing one-dimensional Hardy inequality via a certain nonlinear differential equation. In particular, considered nonlinear differential equation is nonlinear integro-differential equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-06T19:25:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear differential equation",
      "weighted variable lebesgue spaces",
      "multidimensional hardy operator",
      "functions expressing one-dimensional hardy",
      "expressing one-dimensional hardy inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.1423R"
    }
  }
}