{
  "id": "2007.14455",
  "version": "v1",
  "published": "2020-07-28T19:55:50.000Z",
  "updated": "2020-07-28T19:55:50.000Z",
  "title": "Maximal operators of $T$ means with respect to Walsh-Kaczmarz system",
  "authors": [
    "Nata Gogolashvili",
    "George Tephnadze"
  ],
  "categories": [
    "math.CA",
    "math.AP"
  ],
  "abstract": "In this paper we prove and discuss some new $\\left( H_p,L_{p,\\infty}\\right)$ type inequalities of the maximal operators of $T$ means with monotone coefficients with respect to Walsh-Kaczmarz system. It is also proved that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out. In particular, we apply these results to prove a.e. convergence of such $T$ means.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-28T19:55:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10"
    ],
    "keywords": [
      "walsh-kaczmarz system",
      "maximal operators",
      "type inequalities",
      "monotone coefficients",
      "special sense"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}