{
  "id": "math/0601679",
  "version": "v1",
  "published": "2006-01-27T15:44:09.000Z",
  "updated": "2006-01-27T15:44:09.000Z",
  "title": "On extensions of Sobolev functions defined on regular subsets of metric measure spaces",
  "authors": [
    "Pavel Shvartsman"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We characterize the restrictions of first order Sobolev functions to regular subsets of a homogeneous metric space and prove the existence of the corresponding linear extension operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-01-27T15:44:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35"
    ],
    "keywords": [
      "metric measure spaces",
      "regular subsets",
      "first order sobolev functions",
      "corresponding linear extension operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1679S"
    }
  }
}