{
  "id": "2307.09743",
  "version": "v1",
  "published": "2023-07-19T04:12:25.000Z",
  "updated": "2023-07-19T04:12:25.000Z",
  "title": "On some operator-valued Fourier pseudo-multipliers associated to Grushin operators",
  "authors": [
    "Sayan Bagchi",
    "Riju Basak",
    "Rahul Garg",
    "Abhishek Ghosh"
  ],
  "comment": "This work consists of results extracted from arXiv:2112.06634v1. arXiv admin note: substantial text overlap with arXiv:2112.06634",
  "categories": [
    "math.AP",
    "math.CA",
    "math.FA"
  ],
  "abstract": "This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-multipliers associated to Grushin operators $G = - \\Delta_{x^{\\prime}} - |x^{\\prime}|^2 \\Delta_{x^{\\prime \\prime}}$ on $\\mathbb{R}^{n_1+n_2}.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-19T04:12:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J40",
      "43A85",
      "42B25"
    ],
    "keywords": [
      "operator-valued fourier pseudo-multipliers",
      "grushin operators",
      "study analogous estimates",
      "grushin pseudo-multipliers",
      "sparse domination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}