数学物理学报(英文版) ›› 1987, Vol. 7 ›› Issue (1): 75-83.
李志阐
Li Zhichan
摘要: In this paper, by using the probabilistic method, we obtained a decomposition theorem for the harmonic functions, generalized and strengthened some theorems:Doob's theorem on the limit behaviors of the superharmonic functions, Bocher's theorem on the representation of the harmonic functions and the extension theorem of the harmonic functions etc.