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- W4295774872 abstract "Let $mathcal{W}$ be the wandering subspace corresponding to an invariant subspace of the Bergman shift. By identifying the Bergman space with $H^2(mathbb{D}^2)ominus[z-w]$, we give a necessary and sufficient condition for a closed subspace of $H^2(mathbb{D}^2)ominus[z-w]$ to be a wandering subspace of an invariant subspace. Furthermore, we present a functional characterization and a coefficient characterization for a function in a wandering subspace. Finally, we define an operator from one wandering subspace to another, and get a decomposition theorem for such an operator, which is related to the universal property of the Bergman shift." @default.
- W4295774872 created "2022-09-15" @default.
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- W4295774872 date "2022-09-01" @default.
- W4295774872 modified "2023-09-25" @default.
- W4295774872 title "Characterizations of functions in wandering subspaces of the Bergman shift via the Hardy space of the bidisc" @default.
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- W4295774872 doi "https://doi.org/10.1360/scm-2022-0135" @default.
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