Besov capacity and Hausdorff measures in metric measure spaces

• Autores: Serban Costea
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 53, Nº 1, 2009, págs. 141-178
• Idioma: inglés
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• Resumen

  • 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.