{
  "id": "1009.2472",
  "version": "v2",
  "published": "2010-09-13T18:28:52.000Z",
  "updated": "2011-04-16T19:41:32.000Z",
  "title": "Estimates of the Green function for the fractional Laplacian perturbed by gradient",
  "authors": [
    "Krzysztof Bogdan",
    "Tomasz Jakubowski"
  ],
  "comment": "35 pages, details added to the proof of geometrical Lemma 1",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "The Green function of the fractional Laplacian of the differential order bigger than one and the Green function of its gradient perturbations are comparable for bounded smooth multidimensional open sets if the drift function is in an appropriate Kato class.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-16T19:41:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A55",
      "60J35",
      "60J50",
      "60J75",
      "47G20"
    ],
    "keywords": [
      "green function",
      "fractional laplacian",
      "bounded smooth multidimensional open sets",
      "differential order bigger",
      "appropriate kato class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.2472B"
    }
  }
}