{
  "id": "1710.05478",
  "version": "v1",
  "published": "2017-10-16T02:56:32.000Z",
  "updated": "2017-10-16T02:56:32.000Z",
  "title": "On estimates of transition density for subordinate Brownian motions with Gaussian components in $C^{1,1}$-open sets",
  "authors": [
    "Joohak Bae",
    "Panki Kim"
  ],
  "comment": "30 pages, 1 figure",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a subordinate Brownian motion $X$ with Gaussian components when the scaling order of purely discontinuous part is between $0$ and $2$ including $2$. In this paper we establish sharp two-sided bounds for transition density of $X$ in ${\\mathbb R}^d$ and $C^{1,1}$-open sets. As a corollary, we obtain a sharp Green function estimates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-16T02:56:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J35",
      "60J50",
      "60J75"
    ],
    "keywords": [
      "subordinate brownian motion",
      "gaussian components",
      "transition density",
      "open sets",
      "sharp green function estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}