{
  "id": "2305.06039",
  "version": "v1",
  "published": "2023-05-10T10:46:34.000Z",
  "updated": "2023-05-10T10:46:34.000Z",
  "title": "Improved multiplier theorems on rank one noncompact symmetric spaces",
  "authors": [
    "Błażej Wróbel"
  ],
  "comment": "24 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove multiplier theorems on rank one noncompact symmetric spaces which improve aspects of existing results. A common theme of our main results is that we partially drop specific assumptions on the multiplier function such as a Mikhlin-H\\\"ormander condition. These are replaced by a requirement that parts of the multiplier function on the critical $p$ strip give rise to bounded Fourier multipliers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-10T10:46:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A85",
      "43A32"
    ],
    "keywords": [
      "noncompact symmetric spaces",
      "multiplier theorems",
      "multiplier function",
      "partially drop specific assumptions",
      "common theme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}