Proceedings of the American Mathematical Society, Vol. 107, No. 4 (Dec., 1989), pp. 937-942 (6 pages) We prove the following theorem: A bounded harmonic function is identically zero if it tends to ...
Let $X$ and $Y$ be metric spaces and $f: X \rightarrow Y$ a Borel measurable function. Does $f$ have to be of bounded class, i.e. are the sets $f^{-1}\lbrack H ...