Christina Karafyllia

activity

20192026

most citedHyperbolic distance and membership of conformal maps in the Hardy space

7 citations · 12 across the 13 of their papers we have counts for

collaborators

14 papers

math.CV2026

Koebe uniformization, John domains, and transboundary modulus

Christina Karafyllia, Dimitrios Ntalampekos

We prove Koebe's conjecture for John domains by showing that every planar John domain is conformally equivalent to a circle domain. Our proof is based on a geometric property of Jo…

math.CV2025

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 $D$ 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 thos…

math.CV2024★ 1 cited

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…

math.CV2023

Extremal distance and conformal mappings in Hardy and Bergman spaces

Christina Karafyllia

We prove necessary and sufficient integral conditions involving extremal distance for a conformal mapping of the unit disk to belong to the Hardy or weighted Bergman spaces. We als…

math.CV2022

The Bergman number of a plane domain

Christina Karafyllia

Let $D$ be a domain in the complex plane $C$ . The Hardy number of $D$ , which first introduced by Hansen, is the maximal number $h (D)$ in $[0, + \infty]$ such that $f$ belong…

math.CV2021

Geometric characterizations for conformal mappings in weighted Bergman spaces

Christina Karafyllia, Nikolaos Karamanlis

We prove that a conformal mapping defined on the unit disk belongs to a weighted Bergman space if and only if certain integrals involving the harmonic measure converge. With the ai…

math.CV2021

The range of Hardy number on comb domains

Christina Karafyllia

Let $D \neq = C$ be a simply connected domain and $f$ be the Riemann mapping from $D$ onto $D$ . The Hardy number of $D$ is the supremum of all $p$ for which $f$ belon…

math.CV2021★ 3 cited

Extension of boundary homeomorphisms to mappings of finite distortion

Christina Karafyllia, Dimitrios Ntalampekos

We provide sufficient conditions so that a homeomorphism of the real line or of the circle admits an extension to a mapping of finite distortion in the upper half-plane or the disk…

math.CV2021

On the Hardy number of comb domains

Christina Karafyllia

Let $H^{p} (D)$ be the Hardy space of all holomorphic functions on the unit disk $D$ with exponent $p > 0$ . If $D \neq = C$ is a simply connected d…

math.CV2019★ 1 cited

On a property of harmonic measure on simply connected domains

Christina Karafyllia

Let $D \subset C$ be a domain with $0 \in D$ . For $R > 0$ , let $ω^_{D} (R)$ denote the harmonic measure of $ D \cap \left\{ {\left| z \right| = R} \right…

math.CV2019

On the Hardy number of a domain in terms of harmonic measure and hyperbolic distance

Christina Karafyllia

Let $ψ$ be a conformal map on $D$ with $ψ (0) = 0$ and let $F_{α} = {z \in D : ∣ ψ (z) ∣ = α}$ for $α > 0$ . Denote…

math.CV2019

On a relation between harmonic measure and hyperbolic distance on planar domains

Christina Karafyllia

Let $ψ$ be a conformal map of $D$ onto an unbounded domain and, for $α > 0$ , let $F_{α} = {z \in D : ∣ ψ (z) ∣ = α}$ . If $ω_\m…

math.CV2019★ 7 cited

Hyperbolic distance and membership of conformal maps in the Hardy space

Christina Karafyllia

Let $ψ$ be a conformal map of the unit disk $D$ onto an unbounded domain and, for $α > 0$ , let ${F_α}=\left\{ {z \in \mathbb{D}:\left| {ψ\left( z \right)} \right| = α} \righ…