{
  "id": "math/0302326",
  "version": "v1",
  "published": "2003-02-26T15:10:46.000Z",
  "updated": "2003-02-26T15:10:46.000Z",
  "title": "A unified approach to improved L^p Hardy inequalities with best constants",
  "authors": [
    "G. Barbatis",
    "S. Filippas",
    "A. Tertikas"
  ],
  "comment": "32 pages",
  "categories": [
    "math.AP",
    "math.SP"
  ],
  "abstract": "We present a unified approach to improved $L^p$ Hardy inequalities in $\\R^N$. We consider Hardy potentials that involve either the distance from a point, or the distance from the boundary, or even the intermediate case where distance is taken from a surface of codimension $1<k<N$. In our main result we add to the right hand side of the classical Hardy inequality, a weighted $L^p$ norm with optimal weight and best constant. We also prove non-homogeneous improved Hardy inequalities, where the right hand side involves weighted L^q norms, q \\neq p.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-26T15:10:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "26D10",
      "46E35"
    ],
    "keywords": [
      "best constant",
      "unified approach",
      "right hand side",
      "main result",
      "intermediate case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2326B"
    }
  }
}