{
  "id": "math/0302327",
  "version": "v1",
  "published": "2003-02-26T15:25:53.000Z",
  "updated": "2003-02-26T15:25:53.000Z",
  "title": "Series expansion for L^p Hardy inequalities",
  "authors": [
    "G. Barbatis",
    "S. Filippas",
    "A. Tertikas"
  ],
  "comment": "16 pages, to appear in the Indiana Univ. Math. J",
  "categories": [
    "math.AP",
    "math.SP"
  ],
  "abstract": "We consider a general class of sharp $L^p$ Hardy inequalities in $\\R^N$ involving distance from a surface of general codimension $1\\leq k\\leq N$. We show that we can succesively improve them by adding to the right hand side a lower order term with optimal weight and best constant. This leads to an infinite series improvement of $L^p$ Hardy inequalities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-26T15:25:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "26D10",
      "46E35"
    ],
    "keywords": [
      "hardy inequalities",
      "series expansion",
      "infinite series improvement",
      "right hand side",
      "lower order term"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2327B"
    }
  }
}