{
  "id": "1802.01450",
  "version": "v1",
  "published": "2018-02-02T12:21:06.000Z",
  "updated": "2018-02-02T12:21:06.000Z",
  "title": "Green function for gradient perturbation of unimodal Lévy processes in the real line",
  "authors": [
    "T. Grzywny",
    "T. Jakubowski",
    "G. Żurek"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1505.07700",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "We prove that the Green function of a generator of symmetric unimodal L\\'evy processes with the weak lower scaling order bigger than one and the Green function of its gradient perturbations are comparable for bounded $C^{1,1}$ subsets of the real line if the drift function is from an appropriate Kato class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-02T12:21:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "green function",
      "unimodal lévy processes",
      "gradient perturbation",
      "real line",
      "symmetric unimodal levy processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}