{
  "id": "1701.02289",
  "version": "v1",
  "published": "2017-01-09T18:26:38.000Z",
  "updated": "2017-01-09T18:26:38.000Z",
  "title": "Lusin area integrals related to Jacobi expansions",
  "authors": [
    "Tomasz Z. Szarek"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We investigate mixed Lusin area integrals associated with Jacobi trigonometric polynomial expansions. We prove that these operators can be viewed as vector-valued Calder\\'on-Zygmund operators in the sense of the associated space of homogeneous type. Consequently, their various mapping properties, in particular on weighted $L^p$ spaces, follow from the general theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-09T18:26:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "42C10"
    ],
    "keywords": [
      "jacobi expansions",
      "jacobi trigonometric polynomial expansions",
      "mixed lusin area integrals",
      "general theory",
      "vector-valued calderon-zygmund operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}