Costea, Şerban Besov capacity and Hausdorff measures in metric measure spaces. (English) Zbl 1171.46025 Publ. Mat., Barc. 53, No. 1, 141-178 (2009). Summary: 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 \(\int _0^1 h(t)^{1/(p-1)}\frac{dt}{t}< \infty\). Cited in 7 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 31C99 Generalizations of potential theory Keywords:Besov capacity; Hausdorff measures PDFBibTeX XMLCite \textit{Ş. Costea}, Publ. Mat., Barc. 53, No. 1, 141--178 (2009; Zbl 1171.46025) Full Text: DOI EuDML