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arXiv · 2509.04366

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

Athanasios Beslikas
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Abstract

In this note we provide a sufficient condition on when the composition operator $C_{\Phi}:A^2_{a}(\mathbb{D}^2)\to A^2_{\beta}(\mathbb{D}^2)$ is bounded, whenever $a\ge-1$ and $\beta$ is positive, with the assumption that $\Phi$ is induced by non-smooth Rational Inner Functions.

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Athanasios Beslikas. 2025-09-04. Composition Operators and Rational Inner Functions II: Boundedness between two different Bergman Spaces. https://arxiv.org/abs/2509.04366

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