Geodesic
Dominant Sets for Model Spaces in Several Variables
Matematičeskie zametki, Tome 115 (2024) no. 2, pp. 162-169

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Let $I$ be an inner function in the domain $\mathcal{D}=B_{n_1}\times B_{n_2}\times\dots \times B_{n_k}$, where $B_n$ is the open unit ball in $\mathbb{C}^n$, $n\geqslant 1$. We construct dominant sets for the space $H^2 \ominus I H^2$, where $H^2=H^2(\mathcal{D})$ is the standard Hardy space.
Mots-clés : dominant sets
Keywords: Hardy space, large and small model spaces. 
@article{MZM_2024_115_2_a0,
     author = {A. B. Aleksandrov and E. Doubtsov},
     title = {Dominant {Sets} for {Model} {Spaces} in {Several} {Variables}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {162--169},
     publisher = {mathdoc},
     volume = {115},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2024_115_2_a0/}
}
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A. B. Aleksandrov; E. Doubtsov. Dominant Sets for Model Spaces in Several Variables. Matematičeskie zametki, Tome 115 (2024) no. 2, pp. 162-169. http://geodesic.mathdoc.fr/item/MZM_2024_115_2_a0/