A note on Dirichlet-type spaces and cyclic vectors in the unit ball of C2\mathbb{C}^2

preprint2014arXivOpen access

Abstract

We extend results of Bénéteau, Condori, Liaw, Seco, and the author concerning cyclic vectors in Dirichlet-type spaces to the setting of the unit ball, identifying some classes of cyclic and non-cyclic functions, and noting the necessity of certain capacity conditions.

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