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Harmonie Hardy-Orlicz spaces. (English) Zbl 1272.31010

Summary: Given an open hyperbolic Riemannian manifold, we show that various vector spaces of harmonic functions coincide if and only if they are finite dimensional.

MSC:

31C12 Potential theory on Riemannian manifolds and other spaces
31C35 Martin boundary theory
35J70 Degenerate elliptic equations
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