Abstract
AbstractThe modulus metric between two points in a subdomain of $$\mathbb {R}^n, n\ge 2,$$
R
n
,
n
≥
2
,
is defined in terms of moduli of curve families joining the boundary of the domain with a continuum connecting the two points. This metric is one of the conformally invariant hyperbolic-type metrics that have become a standard tool in geometric function theory. We prove that the modulus metric is not Hölder continuous with respect to the hyperbolic metric.
Funder
Turun yliopiston tutkijakoulu
Magnus Ehrnroothin Säätiö
Publisher
Springer Science and Business Media LLC
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