Classes of Measures Generated by Capacities

G. Dafni, G. E. Karadzhov, J. Xiao

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…