{
  "id": "1909.11441",
  "version": "v1",
  "published": "2019-09-25T12:39:53.000Z",
  "updated": "2019-09-25T12:39:53.000Z",
  "title": "Sharp stability for the Riesz potential",
  "authors": [
    "Nicola Fusco",
    "Aldo Pratelli"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we show the stability of the ball as maximizer of the Riesz potential among sets of given volume. The stability is proved with sharp exponent $1/2$, and is valid for any dimension $N\\geq 2$ and any power $1<\\alpha<N$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-25T12:39:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riesz potential",
      "sharp stability",
      "sharp exponent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}