Authors: Nicola Garofalo, Purdue University, West Lafayette, IN 47907, USA, (garofalo@math.purdue.edu), and Niko Marola, Department of Mathematics and Systems Analysis, Helsinki University of Technology, P.O. Box 1100, FI-02014 TKK, Finland (niko.marola@tkk.fi).
Sharp capacitary estimates for rings in metric spaces, pp. 681-695.
ABSTRACT. 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's functions.