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Triangular ratio metric in the unit disk

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 نشر من قبل Oona Rainio
 تاريخ النشر 2020
  مجال البحث
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The triangular ratio metric is studied in a domain $Gsubsetneqmathbb{R}^n$, $ngeq2$. Several sharp bounds are proven for this metric, especially, in the case where the domain is the unit disk of the complex plane. The results are applied to study the Holder continuity of quasiconformal mappings.



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