{
  "id": "1110.1070",
  "version": "v1",
  "published": "2011-10-05T18:44:04.000Z",
  "updated": "2011-10-05T18:44:04.000Z",
  "title": "Estimates for compositions of maximal operators with singular integrals",
  "authors": [
    "Richard Oberlin"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove weak-type (1,1) estimates for compositions of maximal operators with singular integrals. Our main object of interest is the operator $\\Delta^*\\Psi$ where $\\Delta^*$ is Bourgain's maximal multiplier operator and $\\Psi$ is the sum of several modulated singular integrals; here our method yields a significantly improved bound for the $L^q$ operator norm when $1 < q < 2$. We also consider associated variation-norm estimates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-05T18:44:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A45"
    ],
    "keywords": [
      "maximal operators",
      "compositions",
      "bourgains maximal multiplier operator",
      "modulated singular integrals",
      "associated variation-norm estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.1070O"
    }
  }
}