Athanasios Beslikas

collaborators

5 papers

math.CV2026

Composition operators and Rational Inner Functions on the bidisc: A geometric approach

Athanasios Beslikas

We study composition operators acting on the weighted Bergman spaces on the bidisc, i.e. $C_{I^} ¦ : A_{I^}^{2} (D^{2}) \to A_{I^}^{2} (D^{2})$ where $I^¦$ is induced by rational inner…

math.CV2026

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 $C_{I^} ¦ : A_{a}^{2} (D^{2}) \to A_{I^}^{2} (D^{2})$ is bounded, whenever $a \geq - 1$ and $I^^{2}$ is posit…

math.CV2025

A note on composition operators on the bidisc

Athanasios Beslikas

In this note we give a new sufficient condition for the boundedness of the composition operator on the Dirichlet-type space on the disc, via a two dimensional change of variables f…

math.CV2025

Composition operators and Rational Inner Functions on the bidisc

Athanasios Beslikas

In the present article, composition operators induced by Rational Inner Functions on the bidisc $D^{2}$ are studied, acting on the weighted Bergman space $A^2_Î²(\mathbb{D}^…