{
  "id": "2212.08956",
  "version": "v1",
  "published": "2022-12-17T21:29:27.000Z",
  "updated": "2022-12-17T21:29:27.000Z",
  "title": "A new type of superorthogonality",
  "authors": [
    "Philip T. Gressman",
    "Lillian B. Pierce",
    "Joris Roos",
    "Po-Lam Yung"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We provide a simple criterion on a family of functions that implies a square function estimate on $L^p$ for every even integer $p \\geq 2$. This defines a new type of superorthogonality that is verified by checking a less restrictive criterion than any other type of superorthogonality that is currently known.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-17T21:29:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "superorthogonality",
      "square function estimate",
      "simple criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}