{
  "id": "2301.10605",
  "version": "v1",
  "published": "2023-01-25T14:26:00.000Z",
  "updated": "2023-01-25T14:26:00.000Z",
  "title": "A note on Hausdorff-Young inequalities in function spaces",
  "authors": [
    "Hans Triebel"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The classical Hausdorff-Young inequalities for the Fourier transform acting between appropriate $L_p$ spaces are cornerstones of Fourier analysis. Here we extend it to weighted spaces of Besov or Sobolev type where the weight has the form $w(x)=(1+|x|^2)^{\\alpha/2}$. This note is not a paper or draft but a sketchy complement to some earlier results where we dealt with mapping properties of the Fourier transform.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-25T14:26:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35"
    ],
    "keywords": [
      "function spaces",
      "fourier analysis",
      "classical hausdorff-young inequalities",
      "sobolev type",
      "sketchy complement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}