{
  "id": "2010.09020",
  "version": "v1",
  "published": "2020-10-18T16:27:18.000Z",
  "updated": "2020-10-18T16:27:18.000Z",
  "title": "Inequalities for the derivatives of the Radon transform on convex bodies",
  "authors": [
    "Wyatt Gregory",
    "Alexander Koldobsky"
  ],
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "It has been proved that the sup-norm of the Radon transform of an arbitrary probability density on an origin-symmetric convex body of volume 1 is bounded from below by a positive constant depending only on the dimension. In this note we extend this result to the derivatives of the Radon transform. We also prove a comparison theorem for these derivatives.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-18T16:27:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A12",
      "52A20"
    ],
    "keywords": [
      "radon transform",
      "derivatives",
      "inequalities",
      "arbitrary probability density",
      "origin-symmetric convex body"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}