Harmonic functions on a Riemannian ball
1976 ◽
Vol 80
(2)
◽
pp. 277-282
Keyword(s):
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:
Keyword(s):
1985 ◽
Vol 26
(2)
◽
pp. 115-120
◽
1989 ◽
Vol 30
(2)
◽
pp. 303-394
◽
1988 ◽
Vol 27
(2)
◽
pp. 225-239
◽
1963 ◽
Vol 15
◽
pp. 157-168
◽
Keyword(s):
2011 ◽
Vol 87
(3)
◽
pp. 469-492
◽