{
  "id": "math/9610217",
  "version": "v1",
  "published": "1996-10-01T00:00:00.000Z",
  "updated": "1996-10-01T00:00:00.000Z",
  "title": "An interpolation theorem related to the a.e. convergence of integral operators",
  "authors": [
    "Alexander Kiselev"
  ],
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We show that for integral operators of general form the norm bounds in Lorentz spaces imply certain norm bounds for the maximal function. As a consequence, the a.e. convergence for the integral operators on the Lorentz spaces follows from the appropriate norm estimates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-10-01T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral operators",
      "interpolation theorem",
      "convergence",
      "norm bounds",
      "lorentz spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1996math.....10217K"
    }
  }
}