{
  "id": "2411.00293",
  "version": "v1",
  "published": "2024-11-01T01:05:51.000Z",
  "updated": "2024-11-01T01:05:51.000Z",
  "title": "On sharp constants in higher order Adams-Cianchi inequalities",
  "authors": [
    "Prasun Roychowdhury",
    "Daniel Spector"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "The main results of this paper are the establishment of sharp constants for several families of critical Sobolev embeddings. These inequalities were pioneered by David R. Adams, while the sharp constant in the first order case is due to Andrea Cianchi. We also prove a trace improvement of an inequality obtained independently by K. Hansson and H. Brezis and S. Wainger.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-01T01:05:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inequality",
      "higher order adams-cianchi inequalities",
      "sharp constant",
      "first order case",
      "main results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}