{
  "id": "1410.6416",
  "version": "v1",
  "published": "2014-10-05T02:27:49.000Z",
  "updated": "2014-10-05T02:27:49.000Z",
  "title": "On The maximal operators of Vilenkin-Fejér means",
  "authors": [
    "George Tephnadze"
  ],
  "comment": "Vilenkin system, Fej\\'er means, martingale Hardy space. arXiv admin note: text overlap with arXiv:1410.6101",
  "journal": "Turk J Math, 37, (2013), 308-318",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "The main aim of this paper is to prove that the maximal operator $\\overset{% \\sim }{\\sigma }^{*}f:=\\underset{n\\in P}{\\sup }\\frac{\\left| \\sigma_{n}f\\right| }{\\log ^{2}\\left( n+1\\right) }$ is bounded from the Hardy space $H_{1/2}$ to the space $L_{1/2}$, where $\\sigma_{n}f$ is Fej\\'er means of bounded Vilenkin-Fourier series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-05T02:27:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10"
    ],
    "keywords": [
      "maximal operator",
      "vilenkin-fejér means",
      "main aim",
      "hardy space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.6416T"
    }
  }
}