{
  "id": "1505.07700",
  "version": "v1",
  "published": "2015-05-28T14:24:59.000Z",
  "updated": "2015-05-28T14:24:59.000Z",
  "title": "Green function for gradient perturbation of unimodal Lévy processes",
  "authors": [
    "Tomasz Grzywny",
    "Tomasz Jakubowski",
    "Grzegorz Żurek"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "We prove that the Green function of a generator of isotropic unimodal L\\'{e}vy processes with the weak lower scaling order bigger than one and the Green function of its gradient perturbations are comparable for bounded smooth open sets if the drift function is from an appropriate Kato class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-28T14:24:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A55",
      "60J35",
      "60J50",
      "60J75",
      "47G20"
    ],
    "keywords": [
      "green function",
      "unimodal lévy processes",
      "gradient perturbation",
      "weak lower scaling order bigger",
      "appropriate kato class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150507700G"
    }
  }
}