Revistes Catalanes amb Accés Obert (RACO)

Besov capacity and Hausdorff measures in metric measure spaces

Ş. Costea

Resum


This paper studies Besov ρ-capacities as well as their relationship to Hausdorff measures in Ahlfors regular metric spaces of dimension Q for 1 < Q < p < ∞. Lower estimates of the Besov ρ-capacities are obtained in terms of the Hausdorff content associated with gauge functions h satisfying the decay condition ∫o¹ h(t)¹/(p-1) dt/t < ∞.

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