{
  "id": "1703.03232",
  "version": "v1",
  "published": "2017-03-09T11:29:56.000Z",
  "updated": "2017-03-09T11:29:56.000Z",
  "title": "A Hardy inequality for ultraspherical expansions with an application to the sphere",
  "authors": [
    "Alberto Arenas",
    "Óscar Ciaurri",
    "Edgar Labarga"
  ],
  "comment": "12 pages, to be published in Journal of Fourier Analysis and Applications",
  "doi": "10.1007/s00041-017-9531-0",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions. Our result also implies a Hardy inequality on spheres with a potential having a double singularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-09T11:29:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10"
    ],
    "keywords": [
      "hardy inequality",
      "ultraspherical expansions",
      "application",
      "proper ground state representation",
      "uncertainty principles"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}