A note on cyclic vectors in Dirichlet-type spaces in the unit ball of ${\mathbb C}^n$
Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 886-902
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We characterize model polynomials that are cyclic in Dirichlet-type spaces in the unit ball of $\mathbb C^n$, and we give a sufficient capacity condition in order to identify noncyclic vectors.
Mots-clés :
Dirichlet-type spaces, cyclic vectors, anisotropic capacities
Vavitsas, Dimitrios. A note on cyclic vectors in Dirichlet-type spaces in the unit ball of ${\mathbb C}^n$. Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 886-902. doi: 10.4153/S0008439523000085
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author = {Vavitsas, Dimitrios},
title = {A note on cyclic vectors in {Dirichlet-type} spaces in the unit ball of ${\mathbb C}^n$},
journal = {Canadian mathematical bulletin},
pages = {886--902},
year = {2023},
volume = {66},
number = {3},
doi = {10.4153/S0008439523000085},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000085/}
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