Sharp capacitary estimates for rings in metric spaces. (English) Zbl 1211.30068
Summary: We establish sharp estimates for the \(p\)-capacity of metric rings with unrelated radii in metric measure spaces equipped with a doubling measure and supporting a Poincaré inequality. These estimates play an essential role in the study of the local behavior of \(p\)-harmonic Green functions.
MSC:
| 30L99 | Analysis on metric spaces |
| 31B15 | Potentials and capacities, extremal length and related notions in higher dimensions |
| 31C45 | Other generalizations (nonlinear potential theory, etc.) |
| 31C15 | Potentials and capacities on other spaces |
