{
  "id": "1304.5122",
  "version": "v1",
  "published": "2013-04-18T13:25:00.000Z",
  "updated": "2013-04-18T13:25:00.000Z",
  "title": "Boundedness of a class of bi-parameter square functions in the upper half-space",
  "authors": [
    "Henri Martikainen"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We consider a class of bi-parameter kernels and related square functions in the upper half-space, and give an efficient proof of a boundedness criterion for them. The proof uses modern probabilistic averaging methods and is based on controlling double Whitney averages over good cubes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-18T13:25:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "bi-parameter square functions",
      "upper half-space",
      "bi-parameter kernels",
      "related square functions",
      "controlling double whitney averages"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.5122M"
    }
  }
}