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On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends

  • Nataliya Ilkevych,
  • Evgeny Sevost’yanov,
  • Alexander Ukhlov

摘要

We study mappings satisfying the inverse Poletsky type inequality with respect to a non-conformal modulus. It was prove that such mappings, with some additional conditions, have a continuous extension to the boundary in terms of prime ends and form equicontinuous families of mappings.