{
  "id": "2011.05272",
  "version": "v1",
  "published": "2020-11-10T17:43:43.000Z",
  "updated": "2020-11-10T17:43:43.000Z",
  "title": "Certain Invariant Spaces of Bounded Measurable Functions on a Sphere",
  "authors": [
    "Samuel A. Hokamp"
  ],
  "comment": "16 pages, submitted to Illinois Journal of Mathematics",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "In their 1976 paper, Nagel and Rudin characterize the closed unitarily and M\\\"obius invariant spaces of continuous and $L^p$-functions on a sphere, for $1\\leq p<\\infty$. In this paper we provide an analogous characterization for the weak*-closed unitarily and M\\\"obius invariant spaces of $L^\\infty$-functions on a sphere. We also investigate the weak*-closed unitarily and M\\\"obius invariant algebras of $L^\\infty$-functions on a sphere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-10T17:43:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant spaces",
      "bounded measurable functions",
      "invariant algebras",
      "analogous characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}