Athanasios Beslikas

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20232026

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math.CV2026

Critical cyclicity in Dirichlet-type spaces on the bidisk

Athanasios Beslikas, Pouriya Torkinejad Ziarati

Consider the Dirichlet-type spaces on the bidisc defined by $$\mathcal{D}_β(\mathbb{D}^2)=\Bigg\{f(z_1,z_2)=\sum_{k,l}a_{kl}z_1^kz_2^l\in\mathcal{O}(\mathbb{D}^2): \sum_{k,l\ge 0}|…

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. $C_{Φ} : A_{β}^{2} (D^{2}) \to A_{β}^{2} (D^{2})$ where $Φ$ is induced by rational inner fun…