{
  "id": "2106.05101",
  "version": "v1",
  "published": "2021-06-09T14:24:34.000Z",
  "updated": "2021-06-09T14:24:34.000Z",
  "title": "Local smoothing and Hardy spaces for Fourier integral operators",
  "authors": [
    "Jan Rozendaal"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We obtain new local smoothing estimates for the Euclidean wave equation on $\\mathbb{R}^{n}$, by replacing the space of initial data by a Hardy space for Fourier integral operators. This improves the bounds in the local smoothing conjecture for $p\\geq 2(n+1)/(n-1)$, and complements them for $2<p<2(n+1)/(n-1)$. These estimates are invariant under application of Fourier integral operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-09T14:24:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier integral operators",
      "hardy space",
      "euclidean wave equation",
      "initial data",
      "local smoothing estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}