{
  "id": "1501.01649",
  "version": "v1",
  "published": "2015-01-07T21:20:09.000Z",
  "updated": "2015-01-07T21:20:09.000Z",
  "title": "Weak and strong moments of l_r-norms of log-concave vectors",
  "authors": [
    "Rafał Latała",
    "Marta Strzelecka"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR",
    "math.MG"
  ],
  "abstract": "We show that for $p\\geq 1$ and $r\\geq 2$ the $p$-th moment of the $l_r$-norm of a log-concave random vector is comparable to the sum of the first moment and the weak $p$-th moment up to a constant proportional to $r$. This extends the previous result of Paouris concerning Euclidean norms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-07T21:20:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "46B09",
      "52A38"
    ],
    "keywords": [
      "strong moments",
      "log-concave vectors",
      "th moment",
      "log-concave random vector",
      "paouris concerning euclidean norms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}