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Harmonic functions on a Riemannian ball
Published online by Cambridge University Press: 24 October 2008
Extract
Consider the classes OHX of noncompact Riemannian manifolds M of dimension N ≥ 2 carrying no non-constant harmonic functions with properties X = P (positive), B (bounded), D (Dirichlet finite), or BD (B and D). Denote by OG the class of parabolic manifolds of dimension N ≥ 2. The following complete string of strict inclusion relations is known:
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 2 , September 1976 , pp. 277 - 282
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- Copyright © Cambridge Philosophical Society 1976