{
  "id": "2004.14434",
  "version": "v1",
  "published": "2020-04-29T18:53:46.000Z",
  "updated": "2020-04-29T18:53:46.000Z",
  "title": "The atomic Hardy space for a general Bessel operator",
  "authors": [
    "Edyta Kania-Strojec"
  ],
  "comment": "25 pages, 2 figures",
  "categories": [
    "math.FA"
  ],
  "abstract": "We study Hardy spaces associated with a general multidimensional Bessel operator $\\mathbb{B}_\\nu$. This operator depends on a multiparameter of type $\\nu$ that is usually restricted to a product of half-lines. Here we deal with the Bessel operator in the general context, with no restrictions on the type parameter. We define the Hardy space $H^1$ for $\\mathbb{B}_\\nu$ in terms of the maximal operator of the semigroup of operators $\\exp(-t\\mathbb{B}_\\nu)$. Then we prove that, in general, $H^1$ admits an atomic decomposition of local type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-29T18:53:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B30",
      "42B25",
      "47D03"
    ],
    "keywords": [
      "atomic hardy space",
      "general bessel operator",
      "general multidimensional bessel operator",
      "study hardy spaces",
      "type parameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}