{
  "id": "1804.05352",
  "version": "v1",
  "published": "2018-04-15T13:02:13.000Z",
  "updated": "2018-04-15T13:02:13.000Z",
  "title": "Composition Operators with Quasiconformal Symbols",
  "authors": [
    "Xiang Fang",
    "Kunyu Guo",
    "Zipeng Wang"
  ],
  "categories": [
    "math.FA",
    "math.CA",
    "math.CV"
  ],
  "abstract": "This paper seeks to extend the theory of composition operators on analytic functional Hilbert spaces from analytic symbols to quasiconformal ones. The focus is the boundedness but operator-theoretic questions are discussed as well. In particular, we present a thorough analysis of $L^p$-estimates of a class of singular integral operators $P_\\varphi$ associated with a quasiconformal mapping $\\varphi$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-15T13:02:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "composition operators",
      "quasiconformal symbols",
      "analytic functional hilbert spaces",
      "singular integral operators",
      "operator-theoretic questions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}