{
  "id": "1806.00902",
  "version": "v1",
  "published": "2018-06-04T00:19:10.000Z",
  "updated": "2018-06-04T00:19:10.000Z",
  "title": "Variational inequalities for bilinear averages",
  "authors": [
    "Honghai Liu"
  ],
  "comment": "19 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We obtain variational inequalities for some classes of bilinear averages of one variable, generalizing the variational inequalities for averages of R. Jones {\\it et al}. As an application we get almost everywhere convergence for the ergodic averages along cubes on a dynamical system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-04T00:19:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "42B20"
    ],
    "keywords": [
      "variational inequalities",
      "bilinear averages",
      "ergodic averages"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}