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 |