{
  "id": "2002.04403",
  "version": "v1",
  "published": "2020-02-04T07:14:14.000Z",
  "updated": "2020-02-04T07:14:14.000Z",
  "title": "On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces",
  "authors": [
    "L-E. Persson",
    "G. Tephnadze",
    "G. Tutberidze"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1410.7978, arXiv:1504.05779, arXiv:1504.05974",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper we characterize subsequences of Fej\\'er means with respect to Vilenkin systems, which are bounded from the Hardy space $H_{p}$ to the Lebesgue space $L_{p},$ for all $0<p<1/2.$ The result is in a sense sharp.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-04T07:14:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10"
    ],
    "keywords": [
      "martingale hardy spaces",
      "vilenkin-fejér means",
      "boundedness",
      "fejer means",
      "sense sharp"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}