{
  "id": "1711.01659",
  "version": "v1",
  "published": "2017-11-05T20:46:32.000Z",
  "updated": "2017-11-05T20:46:32.000Z",
  "title": "Besov classes on finite- and infinite-dimensional spaces and embedding theorems",
  "authors": [
    "Egor D. Kosov"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We give a new description of classical Besov spaces in terms of a new modulus of continuity. Then a similar approach is used to introduce Besov classes on an infinite-dimensional space endowed with a Gaussian measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-05T20:46:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "28C20",
      "46G12"
    ],
    "keywords": [
      "besov classes",
      "infinite-dimensional space",
      "embedding theorems",
      "similar approach",
      "gaussian measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}