{
  "id": "1511.02269",
  "version": "v1",
  "published": "2015-11-07T00:22:44.000Z",
  "updated": "2015-11-07T00:22:44.000Z",
  "title": "Boundedness for fractional Hardy-type operator on variable exponent Herz-Morrey spaces",
  "authors": [
    "Jiang-Long Wu",
    "Wen-Jiao Zhao"
  ],
  "comment": "14 pages, Kyoto J. Math.(In Press). arXiv admin note: substantial text overlap with arXiv:1404.1633",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, the fractional Hardy-type operator of variable order $\\beta(x)$ is shown to be bounded from the variable exponent Herz-Morrey spaces $M\\dot{K}_{p_{_{1}},q_{_{1}}(\\cdot)}^{\\alpha(\\cdot),\\lambda}(\\R^{n})$ into the weighted space $M\\dot{K}_{p_{_{2}},q_{_{2}}(\\cdot)}^{\\alpha(\\cdot),\\lambda}(\\R^{n},\\omega)$, where $\\alpha(x)\\in L^{\\infty}(\\mathbb{R}^{n})$ be log-H\\\"older continuous both at the origin and at infinity, $\\omega=(1+|x|)^{-\\gamma(x)}$ with some $\\gamma(x)>0$ and $ 1/q_{_{1}}(x)-1/q_{_{2}}(x)=\\beta(x)/n$ when $q_{_{1}}(x)$ is not necessarily constant at infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-07T00:22:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "47B38"
    ],
    "keywords": [
      "variable exponent herz-morrey spaces",
      "fractional hardy-type operator",
      "boundedness",
      "variable order",
      "weighted space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151102269W"
    }
  }
}