Athanasios Beslikas

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20232026

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math.CV2025

On the membership of two-variable Rational Inner Functions in spaces of Dirichlet-type

Athanasios Beslikas, Alan Sola

We study membership of rational inner functions on the bidisk $D^{2}$ in a scale of Dirichlet spaces considered by Bera, Chavan, and Ghara, and in higher-order variants of t…

math.CV2025

Composition Operators and Rational Inner Functions II: Boundedness between two different Bergman Spaces

Athanasios Beslikas

In this note we provide a sufficient condition on when the composition operator $C_{Φ} : A_{a}^{2} (D^{2}) \to A_{β}^{2} (D^{2})$ is bounded, whenever $a \geq - 1$ and $β$ is positive…