{
  "id": "1504.05974",
  "version": "v1",
  "published": "2015-04-21T11:37:15.000Z",
  "updated": "2015-04-21T11:37:15.000Z",
  "title": "Some new $\\left(H_{p},L_{p}\\right)$ type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients",
  "authors": [
    "L. E. Persson",
    "G. Tephnadze",
    "P. Wall"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1503.05396, arXiv:1410.7978, arXiv:1504.05779",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper we prove and discuss some new $\\left(H_{p},L_{p}\\right)$ type inequalities of maximal operators of Vilenkin-N\\\"orlund means with non-decreasing coefficients. We also apply these inequalities to prove strong convergence theorems of such Vilenkin-N\\\"orlund means. These inequalities are the best possible in a special sense. As applications, both some well-known and new results are pointed out.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-21T11:37:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10",
      "42B25"
    ],
    "keywords": [
      "type inequalities",
      "maximal operators",
      "non-decreasing coefficients",
      "vilenkin-nörlund means",
      "strong convergence theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150405974P"
    }
  }
}