Harmonic Functions on Subregion of a Riemannian Manifold

Young Koan Kwon, Leo Sario · Singapore Management University Institutional Knowledge (InK) (Singapore Management University) · 1971

THE MAIN purpose of the present paper is to show that certain classes of harmonic functions on a subregion 0 of a Riemannian manifold R can be characterized by corresponding function spaces on the boundary σ G = (G∩ Δ R ) ∪ ϑG of G in the Royden compactification R* of R.

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