{
  "id": "2011.12029",
  "version": "v1",
  "published": "2020-11-24T11:09:12.000Z",
  "updated": "2020-11-24T11:09:12.000Z",
  "title": "Normal trace for vector fields of bounded mean oscillation",
  "authors": [
    "Yoshikazu Giga",
    "Zhongyang Gu"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We introduce various spaces of vector fields of bounded mean oscillation ($BMO$) defined in a domain so that normal trace on the boundary is bounded when its divergence is well controlled. The behavior of \"normal\" component and \"tangential\" component may be different for our $BMO$ vector fields. As a result zero extension of the normal component stays in $BMO$ although such property may not hold for tangential components.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-24T11:09:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30H35",
      "46B10",
      "46E35"
    ],
    "keywords": [
      "bounded mean oscillation",
      "vector fields",
      "normal trace",
      "normal component stays",
      "result zero extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}