{
  "id": "1710.07668",
  "version": "v1",
  "published": "2017-10-20T19:01:19.000Z",
  "updated": "2017-10-20T19:01:19.000Z",
  "title": "Endpoint $L^p \\to L^q$ bounds for integration along certain polynomial curves",
  "authors": [
    "Betsy Stovall"
  ],
  "comment": "This is a preprint version of a published article. The final version is in J. Funct. Anal. 259 (2010), no. 12, 3205-3229",
  "journal": "J. Funct. Anal. 259 (2010), no. 12, 3205-3229",
  "categories": [
    "math.CA"
  ],
  "abstract": "We establish strong-type endpoint $L^p(\\mathbb R^d) \\to L^q(\\mathbb R^d)$ bounds for the operator given by convolution with affine arclength measure on polynomial curves for $d \\geq 4$. The bounds established depend only on the dimension $d$ and the degree of the polynomial.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-20T19:01:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomial curves",
      "integration",
      "affine arclength measure",
      "establish strong-type endpoint"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}