{
  "id": "math/0108137",
  "version": "v3",
  "published": "2001-08-21T18:32:13.000Z",
  "updated": "2002-12-05T06:14:06.000Z",
  "title": "$L^p$ improving bounds for averages along curves",
  "authors": [
    "Terence Tao",
    "Jim Wright"
  ],
  "comment": "37 pages, simplified argument (no further need for algebraic complexity theory!), to appear, JAMS",
  "categories": [
    "math.CA"
  ],
  "abstract": "We establish local $(L^p,L^q)$ mapping properties for averages on curves. The exponents are sharp except for endpoints.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-12-05T06:14:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B15"
    ],
    "keywords": [
      "improving bounds",
      "establish local",
      "mapping properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8137T"
    }
  }
}