{
  "id": "1510.01019",
  "version": "v1",
  "published": "2015-10-05T02:54:10.000Z",
  "updated": "2015-10-05T02:54:10.000Z",
  "title": "On weak$^*$-convergence in the Hardy space $H^1$ over spaces of homogeneous type",
  "authors": [
    "Luong Dang Ky"
  ],
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "Let $\\X$ be a complete space of homogeneous type. In this note, we prove that the weak$^*$-convergence is true in the Hardy space $H^1(\\X)$ of Coifman and Weiss.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-05T02:54:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B30"
    ],
    "keywords": [
      "hardy space",
      "homogeneous type",
      "convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151001019D"
    }
  }
}