{
  "id": "1509.07664",
  "version": "v1",
  "published": "2015-09-25T10:27:42.000Z",
  "updated": "2015-09-25T10:27:42.000Z",
  "title": "On a dual property of the maximal operator on weighted variable $L^p$ spaces",
  "authors": [
    "Andrei K. Lerner"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "L. Diening \\cite{D1} obtained the following dual property of the maximal operator $M$ on variable Lebesque spaces $L^{p(\\cdot)}$: if $M$ is bounded on $L^{p(\\cdot)}$, then $M$ is bounded on $L^{p'(\\cdot)}$. We extend this result to weighted variable Lebesque spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-25T10:27:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximal operator",
      "dual property",
      "weighted variable lebesque spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907664L"
    }
  }
}