{
  "id": "1305.2497",
  "version": "v1",
  "published": "2013-05-11T11:18:31.000Z",
  "updated": "2013-05-11T11:18:31.000Z",
  "title": "An embedding theorem for weighted Sobolev classes on a John domain: case of weights that are functions of a distance to a certain h-set",
  "authors": [
    "A. A. Vasil'eva"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $\\Omega$ be a John domain, and let $\\Gamma\\subset \\partial \\Omega$ be an $h$-set. For some functions $h$ and some weight functions depending on distance from $\\Gamma$, embedding theorems for a weighted Sobolev class is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-11T11:18:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weighted sobolev classes",
      "john domain",
      "embedding theorem",
      "weight functions depending"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1134/S1061920814010075",
      "journal": "Russian Journal of Mathematical Physics",
      "year": 2014,
      "month": "Mar",
      "volume": 21,
      "number": 1,
      "pages": 112
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014RJMP...21..112V"
    }
  }
}