{
  "id": "0909.3231",
  "version": "v1",
  "published": "2009-09-17T14:17:43.000Z",
  "updated": "2009-09-17T14:17:43.000Z",
  "title": "A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa",
  "authors": [
    "Tuomas P. Hytönen"
  ],
  "comment": "12 pages, submitted",
  "categories": [
    "math.FA"
  ],
  "abstract": "A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (R^n,mu) with mu(B(x,r))<Cr^d, in which non-doubling harmonic analysis has recently been developed. It seems to be a promising framework for an abstract extension of this theory. Tolsa's space of regularised BMO functions is defined in this new setting, and the John-Nirenberg inequality is proven.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-17T14:17:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30L99",
      "42B35"
    ],
    "keywords": [
      "metric spaces",
      "rbmo space",
      "non-homogeneous analysis",
      "well-established doubling metric measure spaces",
      "john-nirenberg inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3231H"
    }
  }
}