{
  "id": "2002.01790",
  "version": "v1",
  "published": "2020-02-05T13:54:54.000Z",
  "updated": "2020-02-05T13:54:54.000Z",
  "title": "Moments of Gaussian chaoses in Banach spaces",
  "authors": [
    "Radosław Adamczak",
    "Rafał Latała",
    "Rafał Meller"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We derive moment and tail estimates for Gaussian chaoses of arbitrary order with values in Banach spaces. We formulate a conjecture regarding two-sided estimates and show that it holds in a certain class of Banach spaces including L_q spaces. As a corollary we obtain two-sided bounds for moments of chaoses with values in L_q spaces based on exponential random variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-05T13:54:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "banach spaces",
      "gaussian chaoses",
      "exponential random variables",
      "arbitrary order",
      "tail estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}