{
  "id": "2011.14981",
  "version": "v1",
  "published": "2020-11-30T16:54:33.000Z",
  "updated": "2020-11-30T16:54:33.000Z",
  "title": "Images of integration operators in weighted function spaces",
  "authors": [
    "Elena P. Ushakova"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Images of integration operators of natural orders are considered as elements of Besov and Triebel--Lizorkin spaces with local Muckenhoupt weights on $\\mathbb{R}^N$. The results connect entropy and approximation numbers of embedding operators with the same characteristics of the integration operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-30T16:54:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47G10",
      "42C40"
    ],
    "keywords": [
      "integration operators",
      "weighted function spaces",
      "local muckenhoupt weights",
      "results connect entropy",
      "approximation numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}