{
  "id": "math/0302330",
  "version": "v1",
  "published": "2003-02-26T18:18:51.000Z",
  "updated": "2003-02-26T18:18:51.000Z",
  "title": "Refined geometric L^p Hardy inequalities",
  "authors": [
    "G. Barbatis",
    "S. Filippas",
    "A. Tertikas"
  ],
  "comment": "11 pages, to appear in Commun. Contemp. Math",
  "categories": [
    "math.AP",
    "math.SP"
  ],
  "abstract": "For a bounded convex domain \\Omega in R^N we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of \\Omega, the volume of $\\Omega$, as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-26T18:18:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35P20",
      "35P99",
      "26D10"
    ],
    "keywords": [
      "refined geometric",
      "sharp logarithmic corrections",
      "best constant",
      "hardy potential",
      "bounded convex domain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2330B"
    }
  }
}