数学物理学报(英文版) ›› 1987, Vol. 7 ›› Issue (1): 75-83.

• 论文 • 上一篇    下一篇

DECOMPOSITION, REPRESENTATION AND EXTENSION OF THE HARMONIC FUNCTIONS

李志阐   

  1. Dept. of Math., Hebei Univ., Baoding, China
  • 收稿日期:1985-03-27 出版日期:1987-03-25 发布日期:1987-03-25

DECOMPOSITION, REPRESENTATION AND EXTENSION OF THE HARMONIC FUNCTIONS

Li Zhichan   

  1. Dept. of Math., Hebei Univ., Baoding, China
  • Received:1985-03-27 Online:1987-03-25 Published:1987-03-25

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.

Abstract: 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.