{
  "id": "1905.11776",
  "version": "v1",
  "published": "2019-05-28T12:43:22.000Z",
  "updated": "2019-05-28T12:43:22.000Z",
  "title": "Convolution structures for an Orlicz space with respect to vector measures on a compact group",
  "authors": [
    "Manoj Kumar",
    "N. Shravan Kumar"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "The aim of this paper is to present some results about the space L^\\Phi(\\nu), where \\nu is a vector measure on a compact (not necessarily abelian) group and \\Phi is a Young function. We show that under certain conditions, the space L^\\Phi(\\nu) becomes an L^1(G)-module with respect to the usual convolution of functions. We also define one more convolution structure on L^\\Phi(\\nu).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-28T12:43:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A77",
      "43A15"
    ],
    "keywords": [
      "vector measure",
      "convolution structure",
      "orlicz space",
      "compact group",
      "usual convolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}