Abstract
In this paper, we consider the Royden compactifications relative to $p$-Dirichlet integrals of infinite graphs and noncompact Riemannian manifolds, and study the behavior of rough isometries in the compactifications, proving bijective correspondence of the spaces of $p$-harmonic functions with finite $p$-energy.
Citation
Tae Hattori. Atsushi Kasue. "Dirichlet finite harmonic functions and points at infinity of graphs and manifolds." Proc. Japan Acad. Ser. A Math. Sci. 83 (7) 129 - 134, July 2007. https://doi.org/10.3792/pjaa.83.129
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