{
  "id": "1909.07743",
  "version": "v1",
  "published": "2019-09-17T12:14:48.000Z",
  "updated": "2019-09-17T12:14:48.000Z",
  "title": "Inclusion theorems for grand Lorentz spaces",
  "authors": [
    "Cihan Unal",
    "Ismail Aydin"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we consider some inclusion theorems for grand Lorentz spaces $L^{p,q)}\\left( X,\\mu \\right) $ and $\\Lambda _{p),\\omega }$ where $\\mu $ is a finite measure on $\\left( X,\\Sigma \\right) .$ Moreover, we consider the problem of the convergence of approximate identities in these spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-17T12:14:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "43A15",
      "46E35"
    ],
    "keywords": [
      "grand lorentz spaces",
      "inclusion theorems",
      "finite measure",
      "approximate identities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}