{
  "id": "1709.07195",
  "version": "v1",
  "published": "2017-09-21T08:08:16.000Z",
  "updated": "2017-09-21T08:08:16.000Z",
  "title": "Fractional integrals and Fourier transforms",
  "authors": [
    "Viktor Kolyada"
  ],
  "comment": "42 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "This paper gives a short survey of some basic results related to estimates of fractional integrals and Fourier transforms. It is closely adjoint to our previous survey papers \\cite{K1998} and \\cite{K2007}. The main methods used in the paper are based on nonincreasing rearrangements. We give alternative proofs of some results. We observe also that the paper represents the mini-course given by the author at Barcelona University in October, 2014.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-21T08:08:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "42B05",
      "42B10",
      "46E30"
    ],
    "keywords": [
      "fourier transforms",
      "fractional integrals",
      "barcelona university",
      "short survey",
      "paper represents"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}