Some remarks concerning nonnegative harmonic functions
نویسندگان
چکیده
منابع مشابه
Some remarks concerning harmonic functions on homogeneous graphs
We obtain a new result concerning harmonic functions on infinite Cayley graphs X : either every nonconstant harmonic function has infinite radial variation in a certain uniform sense, or there is a nontrivial boundary with hyperbolic properties at infinity of X . In the latter case, relying on a theorem of Woess, it follows that the Dirichlet problem is solvable with respect to this boundary. C...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1972
ISSN: 0021-9045
DOI: 10.1016/0021-9045(72)90034-2