Besov capacity and Hausdorff measures in metric measure spaces
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...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:49621 |
| Acceso en línea: | https://ddd.uab.cat/record/49621 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53109_07 |
| Access Level: | acceso abierto |
| Palabra clave: | Besov capacity Hausdorff measures |
| Sumario: | 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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