{
  "id": "1011.0766",
  "version": "v1",
  "published": "2010-11-02T22:42:46.000Z",
  "updated": "2010-11-02T22:42:46.000Z",
  "title": "A new look at the John-Nirenberg and John-Stromberg theorems for BMO. Lecture Notes",
  "authors": [
    "Michael Cwikel",
    "Yoram Sagher",
    "Pavel Shvartsman"
  ],
  "comment": "64 pages. Section 11 (on pages 55-63) consists of several appendices containing material which will be already well known to many readers. See also http://www.math.technion.ac.il/~mcwikel/bmo",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We develop some techniques for studying various versions of the function space BMO. Special cases of one of our results give alternative proofs of the celebrated John- Nirenberg inequality and of related inequalities due to John and to Wik. Our approach enables us to pose a simply formulated \"geometric\" question, for which an affirmative answer would lead to a version of the John-Nirenberg inequality with dimension free constants. A more detailed summary of the main ideas and results of this paper can be found at http://www.math.technion.ac.il/~mcwikel/bmo/CwikSaghShvaSummary.pdf",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-02T22:42:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "42B35",
      "26D99"
    ],
    "keywords": [
      "lecture notes",
      "john-stromberg theorems",
      "function space bmo",
      "dimension free constants",
      "main ideas"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 64,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.0766C"
    }
  }
}