{
  "id": "2305.19965",
  "version": "v1",
  "published": "2023-05-31T15:53:10.000Z",
  "updated": "2023-05-31T15:53:10.000Z",
  "title": "A clustering theorem in fractional Sobolev spaces",
  "authors": [
    "Fatma Gamza Düzgün",
    "Antonio Iannizzotto",
    "Vincenzo Vespri"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove a general clustering result for the fractional Sobolev space W^{s,p}. Then we show how corresponding results in W^{1,p} and BV, respectively, can be deduced as special cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-31T15:53:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R11",
      "46E35",
      "35B65"
    ],
    "keywords": [
      "fractional sobolev space",
      "clustering theorem",
      "special cases",
      "general clustering result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}