A note on Dirichlet-type spaces and cyclic vectors in the unit ball of $\mathbb{C}^2$ (1410.7646v2)

Abstract: We extend results of B\'en\'eteau, 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.