3 papers
math.CV2026
Characterization of John domains via weak tangents
Christina Karafyllia
We characterize simply connected John domains in the plane with the aid of weak tangents of the boundary. Specifically, we prove that a bounded simply connected domain is a Joh…
math.CV2024
Unbounded Hölder domains
Christina Karafyllia
Motivated by the classical bounded Hölder domains, we introduce the notion of an unbounded simply connected Hölder domain. We prove analytic and geometric characterizations of th…
math.CV2024
Uniformization of Gromov hyperbolic domains by circle domains
Christina Karafyllia, Dimitrios Ntalampekos
We prove that a domain in the Riemann sphere is Gromov hyperbolic if and only if it is conformally equivalent to a uniform circle domain. This resolves a conjecture of Bonk--Heinon…