Christina Karafyllia

collaborators

5 papers

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.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

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…