{
  "id": "1410.6721",
  "version": "v1",
  "published": "2014-10-05T02:42:33.000Z",
  "updated": "2014-10-05T02:42:33.000Z",
  "title": "On the maximal operators of Walsh-Kaczmarz-Fejér means",
  "authors": [
    "George Tephnadze"
  ],
  "comment": "Walsh-Kaczmarz system, Fej\\'er means, martingale Hardy space",
  "journal": "Periodica Mathematica Hungarica, 67, (1), 2013, 33-45",
  "doi": "10.1007/s10998-013-4617-1",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "The main aim of this paper is to prove that the maximal operator $\\sigma_{p}^{\\kappa ,\\ast }f:=\\sup_{n\\in \\mathbf{P}}\\left\\vert \\sigma_{n}^{\\kappa }f\\right\\vert /\\left( n+1\\right) ^{1/p-2}$ is bounded from the Hardy space $% H_{p}$ to the space $L_{p},$ for $0<p<1/2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-05T02:42:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximal operator",
      "walsh-kaczmarz-fejér means",
      "hardy space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.6721T"
    }
  }
}