{
  "id": "2006.12985",
  "version": "v1",
  "published": "2020-06-20T06:23:36.000Z",
  "updated": "2020-06-20T06:23:36.000Z",
  "title": "The Boundedness of General Alternative Gaussian Singular Integrals on variable Lebesgue spaces with Gaussian measure",
  "authors": [
    "Eduard Nava",
    "Ebner Pineda",
    "Wilfredo Urbina"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1911.06375",
  "categories": [
    "math.CA"
  ],
  "abstract": "In a previous paper, we introduced a new class of Gaussian singular integrals, that we called the general alternative Gaussian singular integrals and study the boundedness of them on $L^p(\\gamma_d)$, $ 1 < p < \\infty.$ In this paper, we study the boundedness of those operators on Gaussian variable Lebesgue spaces under a certain additional condition of regularity on $p(\\cdot)$ following a paper by E. Dalmasso and R. Scotto.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-20T06:23:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "42B35",
      "46E30",
      "47G10"
    ],
    "keywords": [
      "general alternative gaussian singular integrals",
      "variable lebesgue spaces",
      "gaussian measure",
      "boundedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}