{
  "id": "1705.08595",
  "version": "v1",
  "published": "2017-05-24T03:45:36.000Z",
  "updated": "2017-05-24T03:45:36.000Z",
  "title": "Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian",
  "authors": [
    "Tsukasa Iwabuchi",
    "Tokio Matsuyama",
    "Koichi Taniguchi"
  ],
  "comment": "31",
  "categories": [
    "math.FA"
  ],
  "abstract": "The purpose of this paper is to establish bilinear estimates in Besov spaces generated by the Dirichlet Laplacian on a domain of Euclidian spaces. These estimates are proved by using the gradient estimates for heat semigroup together with the Bony paraproduct formula and the boundedness of spectral multipliers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-24T03:45:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30H25",
      "42B35"
    ],
    "keywords": [
      "besov spaces",
      "dirichlet laplacian",
      "bony paraproduct formula",
      "euclidian spaces",
      "establish bilinear estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}