{
  "id": "2107.02011",
  "version": "v1",
  "published": "2021-07-01T15:32:43.000Z",
  "updated": "2021-07-01T15:32:43.000Z",
  "title": "a.e. Convergence of $T$ means with respect to Vilenkin systems of integrable functions",
  "authors": [
    "Davit Baramidze",
    "Nato Gogolashvili",
    "Nato Nadirashvili"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2106.11836. substantial text overlap with arXiv:2101.09196 by other authors",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper we derive converge of $T$ means of Vilenkin-Fourier series with monotone coefficients of integrable functions in Lebesgue and Vilinkin-Lebesgue points. Moreover, we discuss pointwise and norm convergence in $L_p$ norms of such $T$ means.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-01T15:32:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10"
    ],
    "keywords": [
      "integrable functions",
      "vilenkin systems",
      "vilinkin-lebesgue points",
      "monotone coefficients",
      "norm convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}