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Composition Operators and Rational Inner Functions II: Boundedness between two different Bergman Spaces
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Composition Operators and Rational Inner Functions II: Boundedness between two different Bergman Spaces
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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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Cited by 1 Pith paper
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Compactness of composition operator on weighted Bergman spaces of the polydisc
Proves compactness criterion for composition operators on weighted Bergman spaces of the polydisc using only the distinguished boundary, with geometric characterizations for beta > d-3.
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