Intrinsic metrics in ring domains
Rainio Oona
Intrinsic metrics in ring domains
Rainio Oona
Springer International Publishing
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2022081154658
https://urn.fi/URN:NBN:fi-fe2022081154658
Tiivistelmä
Three hyperbolic-type metrics including the triangular ratio metric, the j*-metric, and the Möbius metric are studied in an annular ring. The Euclidean midpoint rotation is introduced as a method to create upper and lower bounds for these metrics, and their sharp inequalities are found. A new Möbius-invariant lower bound is proved for the conformal capacity of a general ring domain by using a symmetric quantity defined with the Möbius metric.
Kokoelmat
- Rinnakkaistallenteet [19207]