Classes of Measures Generated by Capacities
  We introduce classes of measures in the half-space $\mathbf{R}^{n+1}_+,$ generated by Riesz, or Bessel, or Besov capacities in $\mathbf{R}^n$, and give a geometric characterization as Carleson-type measures. 
G. Dafni, G. E. Karadzhov and J. Xiao