{
  "id": "1801.10570",
  "version": "v1",
  "published": "2018-01-31T17:40:33.000Z",
  "updated": "2018-01-31T17:40:33.000Z",
  "title": "Embeddings for spaces of Lorentz-Sobolev type",
  "authors": [
    "Andreas Seeger",
    "Walter Trebels"
  ],
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "The purpose of this paper is to characterize all embeddings for versions of Besov and Triebel-Lizorkin spaces where the underlying Lebesgue space metric is replaced by a Lorentz space metric. We include two appendices, one on the relation between classes of endpoint Mikhlin-H\\\"ormander type Fourier multipliers, and one on the constant in the triangle inequality for the spaces $L^{p,r} $ when $p<1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-31T17:40:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "46E30",
      "42B15",
      "42B25"
    ],
    "keywords": [
      "lorentz-sobolev type",
      "embeddings",
      "lebesgue space metric",
      "lorentz space metric",
      "type fourier multipliers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}