{
  "id": "1208.6346",
  "version": "v1",
  "published": "2012-08-31T01:30:37.000Z",
  "updated": "2012-08-31T01:30:37.000Z",
  "title": "Weighted norm inequalities for multilinear singular integral operators and applications",
  "authors": [
    "Guoen Hu",
    "Chin-Cheng Lin"
  ],
  "comment": "21 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, weighted norm inequalities with $A_p$ weights are established for the multilinear singular integral operators whose kernels satisfy $L^{r'}$-H\\\"ormander regularity condition. As applications, we recover a weighted estimate for the multilinear Fourier multiplier obtained by Fujita and Tomita, and obtain several new weighted estimates for the multilinear Fourier multiplier as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-31T01:30:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B35"
    ],
    "keywords": [
      "multilinear singular integral operators",
      "weighted norm inequalities",
      "multilinear fourier multiplier",
      "applications",
      "weighted estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.6346H"
    }
  }
}