| 开O_G Riemann曲面上的广义Anandam-Brelot势位 |
| |
| 引用本文： | 张洵. 开O_G Riemann曲面上的广义Anandam-Brelot势位[J]. 厦门大学学报(自然科学版), 1987, 0(2) |
| |
| 作者姓名： | 张洵 |
| |
| 作者单位： | 夏门大学数学系 |
| |
| 摘 要： | 此文在开O_G类Riemann曲面上引进修正的Green势位与广义Anandam-Brelot势位,推广了Brelot和Anandam在平面上得到的一些结果,并且,借助于这些势位和相应的Constantinescu-Cornea型致密化,研究了上调和函数的积分表示,得到了曲面上一类调和函数(相当于Green空间中的正调和函数)的Martin-Choquet表示.
|
Generalized Anandam-Brelot Potentials on an Open O_G- Riemann Surface |
| |
| Zhang Xu. Generalized Anandam-Brelot Potentials on an Open O_G- Riemann Surface[J]. Journal of Xiamen University(Natural Science), 1987, 0(2) |
| |
| Authors: | Zhang Xu |
| |
| Affiliation: | Dept. Math. |
| |
| Abstract: | By using the modified Green function as the kernel, the notion of the modified Green potential for an open Riemann surface of the class OG is introduced in order to generalize that of the logarithmic potential which makes sense only in the special case of the plane. This gives rise to the notion of the generalized Anandam-Brelot potential. The behaviours of superharmonic functions are viewed and the Martin-Choquet representation for the family of the so-called g-admissible harmonic functions is obtained on the base of these potentials and the related compactification of Constantinescu-Cornea type. |
| |
| Keywords: | Potential Riemann surface Green function |
| 本文献已被 CNKI 等数据库收录！ |
