Abstract
This paper studies Besov $p$-capacities as well as their relationship to Hausdorff measures in Ahlfors regular metric spaces of dimension $Q$ for $1<Q<p<\infty$. Lower estimates of the Besov $p$-capacities are obtained in terms of the Hausdorff content associated with gauge functions $h$ satisfying the decay condition $\int_0^1 h(t)^{1/(p-1)} \frac{dt}{t}<\infty$.
Citation
Ş. Costea. "Besov capacity and Hausdorff measures in metric measure spaces." Publ. Mat. 53 (1) 141 - 178, 2009.
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