{
  "id": "1908.09322",
  "version": "v1",
  "published": "2019-08-25T13:21:43.000Z",
  "updated": "2019-08-25T13:21:43.000Z",
  "title": "Extension operators on Sobolev spaces with decreasing integrability",
  "authors": [
    "Alexander Ukhlov"
  ],
  "comment": "9 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We study extension operators on Sobolev spaces with decreasing integrability on the base of set functions associated with the operator norms. Sharp necessary conditions in the terms of the weak density condition and the terms of weak equivalence of Euclidean and intrinsic metrics are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-25T13:21:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35"
    ],
    "keywords": [
      "sobolev spaces",
      "decreasing integrability",
      "study extension operators",
      "sharp necessary conditions",
      "weak density condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}