On Hilbert lemniscate theorem for a system of quasidisks

• V. V. Andrievskii ^[1]
  1. [1] Kent State University

     Kent State University

     City of Kent, Estados Unidos

     
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 10, Nº. 1-2, 2018, págs. 133-145
• Idioma: inglés
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• Resumen

  • Let K be a compact set in the complex plane consisting of a finite number of quasidisks. We study the rate of approximation of K from the outside by lemniscates in terms of level lines of the Green function for the complement of K.