{
  "id": "2205.14602",
  "version": "v1",
  "published": "2022-05-29T08:43:22.000Z",
  "updated": "2022-05-29T08:43:22.000Z",
  "title": "New equivalence theorems for weighted inequalities involving the composition of monotone quasilinear operators with the Hardy and Copson operators and their applications",
  "authors": [
    "Rza Mustafayev",
    "Merve Yılmaz"
  ],
  "comment": "14 pages. arXiv admin note: text overlap with arXiv:2203.08661",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, new equivalence theorems for the boundedness of the composition of a quasilinear operator $T$ with the Hardy and Copson operators in weighted Lebesgue spaces are proved. The usefulness of the obtained results is illustrated in the case of weighted Hardy-type and weighted iterated Hardy-type inequalities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-29T08:43:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "26D15"
    ],
    "keywords": [
      "monotone quasilinear operators",
      "copson operators",
      "equivalence theorems",
      "weighted inequalities",
      "composition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}