{
  "id": "1907.11583",
  "version": "v1",
  "published": "2019-07-26T14:07:12.000Z",
  "updated": "2019-07-26T14:07:12.000Z",
  "title": "On Laplace--Carleson embeddings, and $L^p$-mapping properties of the Fourier transform",
  "authors": [
    "Eskil Rydhe"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We investigate so-called Laplace--Carleson embeddings for large exponents. In particular, we extend some results by Jacob, Partington, and Pott. We also discuss some related results for Sobolev- and Besov spaces, and mapping properties of the Fourier transform. These variants of the Hausdorff--Young theorem appear difficult to find in the literature. We conclude the paper with an example related to an open problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-26T14:07:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier transform",
      "laplace-carleson embeddings",
      "mapping properties",
      "hausdorff-young theorem appear",
      "open problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}