{
  "id": "1905.05971",
  "version": "v1",
  "published": "2019-05-15T06:39:36.000Z",
  "updated": "2019-05-15T06:39:36.000Z",
  "title": "Orlicz Modules over Coset Spaces of Compact Subgroups in Locally compact Groups",
  "authors": [
    "Vishvesh Kumar"
  ],
  "comment": "10 pages, Comments are welcome",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $H$ be a compact subgroup of a locally compact group $G$ and let $m$ be the normalized $G$-invariant measure on homogeneous space $G/H$ associated with Weil's formula. Let $\\varphi$ be a Young function satisfying $\\Delta_2$-condition. We introduce the notion of left module action of $L^1(G/H, m)$ on the Orlicz spaces $L^\\varphi(G/H, m).$ We also introduce a Banach left $L^1(G/H, m)$-submodule of $L^\\varphi(G/H, m).$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-15T06:39:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "locally compact group",
      "compact subgroup",
      "coset spaces",
      "orlicz modules",
      "left module action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}