{
  "id": "1803.11376",
  "version": "v1",
  "published": "2018-03-30T07:59:49.000Z",
  "updated": "2018-03-30T07:59:49.000Z",
  "title": "Sharp pointwise gradient estimates for Riesz potentials with a bounded density",
  "authors": [
    "Vladimir G. Tkachev"
  ],
  "comment": "14 pages, submitted to Analysis and Mathematical Physics",
  "journal": "Anal. Math. Phys. 8 (2018), no. 4, 711-730",
  "doi": "10.1007/s13324-018-0230-z",
  "categories": [
    "math.FA",
    "math.AP",
    "math.CA"
  ],
  "abstract": "We establish sharp inequalities for the Riesz potential and its gradient in $\\mathbb{R}^{n}$ and indicate their usefulness for potential analysis, moment theory and other applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-30T07:59:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31B15",
      "31C05",
      "44A12",
      "35J62"
    ],
    "keywords": [
      "sharp pointwise gradient estimates",
      "riesz potential",
      "bounded density",
      "establish sharp inequalities",
      "potential analysis"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}