A note on Dirichlet-type spaces and cyclic vectors in the unit ball of   $\mathbb{C}^2$
  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. 
Alan Sola
math.CV math.FA