{
  "id": "1212.1695",
  "version": "v1",
  "published": "2012-12-07T19:56:33.000Z",
  "updated": "2012-12-07T19:56:33.000Z",
  "title": "On a weighted variable spaces $L_{p(x), ω}$ for $0< p(x)< 1$ and weighted Hardy inequality",
  "authors": [
    "Rovshan A. Bandaliev"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper a weighted variable exponent Lebesgue spaces $L_{p(x), \\omega}$ for $0< p(x)< 1$ is investigated. We show that this spaces is a quasi-Banach spaces. Note that embedding theorem between weight variable Lebesgue spaces is proved. In particular, we show that $L_{p(x), \\omega}(\\Omega)$ for $0< p(x)< 1$ isn't locally convex. Also, in this paper a some two-weight estimates for Hardy operator are proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-07T19:56:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weighted hardy inequality",
      "weighted variable spaces",
      "weight variable lebesgue spaces",
      "weighted variable exponent lebesgue spaces",
      "quasi-banach spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.1695B"
    }
  }
}