| 生灭过程与一维扩散过程的对数sobolev不等式 |
| |
| 引用本文： | 毛永华.生灭过程与一维扩散过程的对数sobolev不等式[J].应用概率统计,2002,18(1):94-100. |
| |
| 作者姓名： | 毛永华 |
| |
| 作者单位： | 北京师范大学数学系,北京,100875 |
| |
| 基金项目： | Research supported in part by RFDP (No. 96002704)，NSFC (No. 19771008)，Fok Ying-Tung Youth Foundation. |
| |
| 摘 要： | 本文运用加权的Hardy不等式的方法给出了生灭过程与一维扩散过程满足对数Sobolev不等式的显式判别准则。
|
| 关 键 词： | 对数Sobolev不等式 生灭过程 扩散过程 加权 Hardy不等式 |
Logarithmic Sobolev Inequalities for Birth-Death Process and Diffusion Process on the Line* |
| |
| MAO YONGHUO.Logarithmic Sobolev Inequalities for Birth-Death Process and Diffusion Process on the Line*[J].Chinese Journal of Applied Probability and Statisties,2002,18(1):94-100. |
| |
| Authors: | MAO YONGHUO |
| |
| Abstract: | In this paper we give, by using Hardy-type inequalities, characterizations of the logarithmic Sobolev inequalities for birth--death process and diffusion process on the line. |
| |
| Keywords: | Logarithmic Sobolev inequalities birth-death process diffusion process Hardy-type inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
