{
  "id": "1311.7420",
  "version": "v1",
  "published": "2013-11-28T20:51:21.000Z",
  "updated": "2013-11-28T20:51:21.000Z",
  "title": "A generalization of Toeplitz operators on the Bergman space",
  "authors": [
    "Daniel Suárez"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "If $\\mu$ is a finite measure on the unit disc and $k\\ge 0$ is an integer, we study a generalization derived from Englis's work, $T_\\mu^{(k)}$, of the traditional Toeplitz operators on the Bergman space $A^2$, which are the case $k=0$. Among other things, we prove that when $\\mu\\ge 0$, these operators are bounded if and only if $\\mu$ is a Carleson measure, and we obtain some estimates for their norms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-28T20:51:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bergman space",
      "generalization",
      "traditional toeplitz operators",
      "unit disc",
      "finite measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.7420S"
    }
  }
}