{
  "id": "1009.5123",
  "version": "v1",
  "published": "2010-09-26T20:11:04.000Z",
  "updated": "2010-09-26T20:11:04.000Z",
  "title": "Symbols of truncated Toeplitz operators",
  "authors": [
    "Anton Baranov",
    "Roman Bessonov",
    "Vladimir Kapustin"
  ],
  "comment": "19 pages",
  "journal": "Journal of Functional Analysis, 261 (2011), 12, 3437-3456",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We consider three problems connected with coinvariant subspaces of the backward shift operator in Hardy spaces $H^p$: 1) properties of truncated Toeplitz operators; 2) Carleson-type embedding theorems for the coinvariant subspaces; 3) factorizations of pseudocontinuable functions from $H^1$. These problems turn out to be closely connected and even, in a sense, equivalent. The new approach based on the factorizations allows us to answer a number of challenging questions about truncated Toeplitz operators posed by Donald Sarason.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-26T20:11:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "47B32"
    ],
    "keywords": [
      "truncated toeplitz operators",
      "coinvariant subspaces",
      "carleson-type embedding theorems",
      "donald sarason",
      "backward shift operator"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.5123B"
    }
  }
}