We show that for Cheeger $p$-harmonic functions on doubling metric measure spaces supporting a Poincaré inequality, the Wiener criterion is necessary and sufficient for regularity of boundary points.
Published: 1 January 2006
First available in Project Euclid: 16 December 2018
Digital Object Identifier: 10.2969/aspm/04410103
doubling metric measure space
Rights: Copyright © 2006 Mathematical Society of Japan