{
  "id": "1603.07685",
  "version": "v1",
  "published": "2016-03-23T13:53:42.000Z",
  "updated": "2016-03-23T13:53:42.000Z",
  "title": "Hardy spaces for Bessel-Schrödinger operators",
  "authors": [
    "Edyta Kania",
    "Marcin Preisner"
  ],
  "categories": [
    "math.CA",
    "math.AP",
    "math.FA"
  ],
  "abstract": "Consider the Bessel operator with a potential on L^2((0,infty), x^a dx), namely Lf(x) = -f''(x) - a/x f'(x) + V(x)f(x). We assume that a>0 and V\\in L^1_{loc}((0,infty), x^a dx) is a non-negative function. By definition, a function f\\in L^1((0,infty), x^a dx) belongs to the Hardy space H^1(L) if sup_{t>0} |e^{-tL} f| \\in L^1((0,infty), x^a dx). Under certain assumptions on V we characterize the space H^1(L) in terms of atomic decompositions of local type. In the second part we prove that this characterization can be applied to L for a \\in (0,1) with no additional assumptions on the potential V.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-23T13:53:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B30",
      "42B25",
      "35J10",
      "47D03",
      "43A85"
    ],
    "keywords": [
      "hardy space",
      "bessel-schrödinger operators",
      "bessel operator",
      "second part",
      "local type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160307685K"
    }
  }
}