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arXiv · 2305.11025

Dominant sets for model spaces in several variables

Aleksei B. Aleksandrov·Evgueni Doubtsov
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Abstract

Let $I$ be an inner function in $\mathcal{D} = B_{n_1}\times B_{n_2}\cdots \times B_{n_k}$, where $B_n$ denotes the open unit ball of $\mathbb{C}^n$, $n\ge 1$. We construct dominant sets for the space $H^2 \ominus I H^2$, where $H^2 = H^2(\mathcal{D})$ denotes the standard Hardy space.

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Aleksei B. Aleksandrov, Evgueni Doubtsov. 2023-05-18. Dominant sets for model spaces in several variables. https://doi.org/10.1134/s0001434624010127

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