{
  "id": "1907.09812",
  "version": "v1",
  "published": "2019-07-23T10:52:33.000Z",
  "updated": "2019-07-23T10:52:33.000Z",
  "title": "Hadamard products and moments of random vectors",
  "authors": [
    "Rafał Latała",
    "Piotr Nayar"
  ],
  "comment": "9 pages",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "We derive new comparison inequalities between weak and strong moments of norms of random vectors with optimal (up to an universal factor) constants. We discuss applications to the concentration of log-concave random vectors and bounds on $p$-summing norms of finite rank operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-23T10:52:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "52A20",
      "46B09"
    ],
    "keywords": [
      "hadamard products",
      "finite rank operators",
      "log-concave random vectors",
      "universal factor",
      "strong moments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}