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

Published 28 Oct 2014 in math.CV and math.FA | (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.

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Alan Sola

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