Classes of Measures Generated by Capacities

Research paper by G. Dafni, G. E. Karadzhov, J. Xiao

Indexed on: 02 Oct '06Published on: 02 Oct '06Published in: Mathematics - Analysis of PDEs

Abstract

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.