{
  "id": "0902.3193",
  "version": "v1",
  "published": "2009-02-18T17:01:10.000Z",
  "updated": "2009-02-18T17:01:10.000Z",
  "title": "Products of functions in $\\BMO$ and $\\H^{1}$ spaces on spaces of homogeneous type",
  "authors": [
    "Justin Feuto"
  ],
  "comment": "18 pages, submitted",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We give an extension to certain \\textit{RD-space} $\\X$, i.e space of homogeneous type in the sense of Coifman and Weiss, which has the reverse doubling property, of the definition and various properties of the product of functions in $\\BMO(\\X)$ and $\\H^{1}(\\X)$, and functions in Lipschitz space $\\Lambda_{\\frac{1}{p}-1}(\\X)$ and $\\H^{p}(\\X)$ for $p\\in(\\frac{\\n}{\\n+\\theta},1]$, where $\\n$ and $\\theta$ denote respectively the \"dimension\" and the order of $\\X$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-18T17:01:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homogeneous type",
      "lipschitz space",
      "reverse doubling property",
      "definition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.3193F"
    }
  }
}