{
  "id": "2106.00748",
  "version": "v1",
  "published": "2021-06-01T19:51:09.000Z",
  "updated": "2021-06-01T19:51:09.000Z",
  "title": "Riesz transform characterizations for multidimensional Hardy spaces",
  "authors": [
    "Edyta Kania-Strojec",
    "Marcin Preisner"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study Hardy space $H^1_L(X)$ related to a self-adjoint operator $L$ defined on Euclidean domain $X \\subseteq \\mathbb{R}^d$. Under certain assumptions on the heat semigroup $\\exp(-tL)$ we prove characterization of $H^1_L(X)$ by the Riesz transforms related to $L$. As an application, we prove the Riesz transform characterization for multidimensional Bessel and Laguerre operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-01T19:51:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B30",
      "42B25",
      "33C45",
      "47D03"
    ],
    "keywords": [
      "riesz transform characterization",
      "multidimensional hardy spaces",
      "study hardy space",
      "self-adjoint operator",
      "multidimensional bessel"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}