{
  "id": "1607.05101",
  "version": "v1",
  "published": "2016-06-28T15:17:33.000Z",
  "updated": "2016-06-28T15:17:33.000Z",
  "title": "Lower bounds for areas of images of discs",
  "authors": [
    "Ruslan Salimov",
    "Bogdan Klishchuk"
  ],
  "comment": "in Russian",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this article we consider Q-homeomorphisms with respect to the p-modulus on the complex plane with p>2. It is obtained a lower area estimate for image of discs under such mappings. We solved the extremal problem about minimization of the area functional of images of discs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-28T15:17:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bounds",
      "lower area estimate",
      "complex plane",
      "extremal problem",
      "area functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}