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arXiv 2008-05-25 0 views

Sharp capacitary estimates for rings in metric spaces

Garofalo, Nicola · Marola, Niko

Original · EN

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 -harmonic Green's functions.

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