Multipliers and Carleson Measures for D(mu)

In this paper, the multipliers of the Dirichlet-type space D(mu) associated with a positive measure (mu) on the unit circle are characterized in terms of (mu) -Carleson measures. A geometric description of (mu) -Carleson measures is given for the cases of (mu) being absolutely continuous with an A2 weight, and of (mu) being a finite sum of atoms.