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A note on cyclic vectors in Dirichlet-type spaces in the unit ball of $\mathbb{C}^n$ (2301.05584v1)
Published 13 Jan 2023 in math.CV and math.FA
Abstract: 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 non-cyclic vectors.