{
  "id": "2106.11836",
  "version": "v1",
  "published": "2021-05-29T18:56:05.000Z",
  "updated": "2021-05-29T18:56:05.000Z",
  "title": "Sharp $(H_p,L_p)$ and $(H_p,\\text{weak}-L_p)$ type inequalities of weighted maximal operators of $T$ means with respect to Vilenkin systems",
  "authors": [
    "Davit Baramidze"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2101.09196, arXiv:1504.05974 by other authors",
  "categories": [
    "math.CA"
  ],
  "abstract": "We discuss $(H_p,L_p)$ and $(H_p,\\text{weak}-L_p)$ type inequalities of weighted maximal operators of $T$ means with respect to the Vilenkin systems with monotone coefficients, considered in \\cite{tut4} and prove that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-29T18:56:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10",
      "42B25"
    ],
    "keywords": [
      "weighted maximal operators",
      "type inequalities",
      "vilenkin systems",
      "monotone coefficients",
      "special sense"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}