{
  "id": "1711.08985",
  "version": "v1",
  "published": "2017-11-24T14:35:31.000Z",
  "updated": "2017-11-24T14:35:31.000Z",
  "title": "A local-to-global boundedness argument and Fourier integral operators",
  "authors": [
    "Michael Ruzhansky",
    "Mitsuru Sugimoto"
  ],
  "comment": "13 pages. This paper is a substantially reworked version of our paper arXiv:1510.03807, where we now deduce the result of that paper on the global boundedness for Fourier integral operators from a much more general principle for integral operators",
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "We give a criterion for the global boundedness of integral operators which are known to be locally bounded. As an application, we discuss the global $L^p$-boundedness for a class of Fourier integral operators. While the local $L^p$-boundedness of Fourier integral operators is known from the work of Seeger, Sogge and Stein, not so many results are available for the global boundedness on $L^p({\\mathbb R}^n)$. We give several natural sufficient conditions for them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-24T14:35:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "35S30"
    ],
    "keywords": [
      "fourier integral operators",
      "local-to-global boundedness argument",
      "natural sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}