{
  "id": "1410.7205",
  "version": "v1",
  "published": "2014-10-05T02:59:56.000Z",
  "updated": "2014-10-05T02:59:56.000Z",
  "title": "Strong convergence of two-dimensional Walsh-Fourier series",
  "authors": [
    "George Tephnadze"
  ],
  "comment": "Walsh system, Strong convergence, martingale Hardy space. arXiv admin note: text overlap with arXiv:1309.7548, arXiv:1310.8212 by other authors",
  "journal": "Ukrainian Mathematical Journal (UMJ), 65, N6, (2013), 822-834",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We prove that certain mean of the quadratical partial sums of the two-dimensional Walsh-Fourier series are uniformly bounded operators from the Hardy space $H_{p}$ to the space $L_{p}$ for $0<p<1.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-05T02:59:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10"
    ],
    "keywords": [
      "two-dimensional walsh-fourier series",
      "strong convergence",
      "hardy space",
      "quadratical partial sums",
      "uniformly bounded operators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.7205T"
    }
  }
}