{
  "id": "1606.06705",
  "version": "v1",
  "published": "2016-06-21T18:59:09.000Z",
  "updated": "2016-06-21T18:59:09.000Z",
  "title": "A note on weighted iterated Hardy-type inequalities",
  "authors": [
    "Rza Mustafayev"
  ],
  "comment": "20 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper the inequality $$ \\bigg( \\int_0^{\\infty} \\bigg( \\int_x^{\\infty} \\bigg( \\int_t^{\\infty} h \\bigg)^q w(t)\\,dt \\bigg)^{r / q} u(x)\\,ds \\bigg)^{1/r}\\leq C \\,\\int_0^{\\infty} h v, \\quad h \\in {\\mathfrak M}^+(0,\\infty) $$ is characterized. Here $0 < q ,\\, r < \\infty$ and $u,\\,v,\\,w$ are weight functions on $(0,\\infty)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-21T18:59:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "26D15"
    ],
    "keywords": [
      "inequality",
      "weighted iterated hardy-type inequalities",
      "weight functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}