Resumen de Besov capacity and Hausdorff measures in metric measure spaces

Serban Costea

• This paper studies Besov p-capacities as well as their relationship to Hausdorff measures in Ahlfors regular metric spaces of dimension Q for 1 < Q < p < 1. Lower estimates of the Besov p-capacities are obtained in terms of the Hausdorff content associated with gauge functions h satisfying the decay condition R 1 0 h(t)1/(p-1) dt t < 1.