{
  "id": "1011.1149",
  "version": "v1",
  "published": "2010-11-04T12:53:30.000Z",
  "updated": "2010-11-04T12:53:30.000Z",
  "title": "$L^p$ and Sobolev boundedness of pseudodifferential operators with non-regular symbol: a regularisation approach",
  "authors": [
    "Claudia Garetto"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we investigate $L^p$ and Sobolev boundedness of a certain class of pseudodifferential operators with non-regular symbols. We employ regularisation methods, namely convolution with a net of mollifiers $(\\rho_\\eps)_\\eps$, and we study the corresponding net of pseudodifferential operators providing $L^p$ and Sobolev estimates which relate the parameter $\\eps$ with the non-regularity of the symbol.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-04T12:53:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S05",
      "42B30"
    ],
    "keywords": [
      "pseudodifferential operators",
      "non-regular symbol",
      "sobolev boundedness",
      "regularisation approach",
      "employ regularisation methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.1149G"
    }
  }
}