{
  "id": "2112.06634",
  "version": "v2",
  "published": "2021-12-13T13:22:58.000Z",
  "updated": "2022-10-07T11:45:30.000Z",
  "title": "Sparse bounds for pseudo-multipliers associated to Grushin operators, I",
  "authors": [
    "Sayan Bagchi",
    "Riju Basak",
    "Rahul Garg",
    "Abhishek Ghosh"
  ],
  "comment": "We have removed the analysis pertaining to the family of operator-valued Fourier pseudo-multipliers from the original version, and we plan to submit those results elsewhere. Effectively, the introductory section is majorly revised, and as long as the mathematical results are concerned, this version is a proper subset of the first version, consisting of main results on Grushin pseudo-multipliers",
  "categories": [
    "math.AP",
    "math.CA",
    "math.FA"
  ],
  "abstract": "In this article, we prove sharp quantitative weighted $L^p$-estimates for Grushin pseudo-multipliers satisfying H\\\"ormander's condition as an application of pointwise domination of Grushin pseudo-multipliers by appropriate sparse operators.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-10-07T11:45:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J40",
      "43A85",
      "42B25"
    ],
    "keywords": [
      "grushin operators",
      "sparse bounds",
      "appropriate sparse operators",
      "grushin pseudo-multipliers satisfying"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}