{
  "id": "math/0612588",
  "version": "v1",
  "published": "2006-12-20T12:54:55.000Z",
  "updated": "2006-12-20T12:54:55.000Z",
  "title": "Strongly singular integrals along curves",
  "authors": [
    "Norberto Laghi",
    "Neil lyall"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this article we obtain $L^2$ bounds for strongly singular integrals along curves in $\\R^d;$ our results both generalise and extend to higher dimensions those obtained by Chandarana in the plane. Moreover, we show that the operators in question are bounded from $L\\log L$ to weak $L^1$ at the critical exponent $\\alpha=0.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-20T12:54:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A12",
      "42B20"
    ],
    "keywords": [
      "strongly singular integrals",
      "higher dimensions",
      "generalise",
      "chandarana",
      "critical exponent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12588L"
    }
  }
}