{
  "id": "1410.7204",
  "version": "v1",
  "published": "2014-10-05T02:34:40.000Z",
  "updated": "2014-10-05T02:34:40.000Z",
  "title": "On The maximal operators of Vilenkin-Fejér means on Hardy spaces",
  "authors": [
    "George Tephnadze"
  ],
  "comment": "Vilenkin system, Fej\\'er means, martingale Hardy space. arXiv admin note: substantial text overlap with arXiv:1410.6416, arXiv:1410.7075",
  "journal": "Mathematical Inequalities & Applications, 16 (2), (2013), 301-312",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "The main aim of this paper is to prove that when $0<p<1/2$ the maximal operator $\\overset{\\sim }{\\sigma }_{p}^{\\ast }f:=\\underset{n\\in \\mathbb{N}}{% \\sup }\\frac{\\left\\vert \\sigma_{n}f\\right\\vert }{\\left( n+1\\right) ^{1/p-2}}$ is bounded from the martingale Hardy space $H_{p}$ to the space $L_{p},$ where $\\sigma_{n}$ is $n$-th Fej\\'er mean with respect to bounded Vilenkin system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-05T02:34:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10"
    ],
    "keywords": [
      "maximal operator",
      "vilenkin-fejér means",
      "th fejer mean",
      "martingale hardy space",
      "main aim"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.7204T"
    }
  }
}