On notions of harmonicity for non-symmetric Dirichlet form
文献类型：期刊论文
| 作者 | Ma ZhiMing1 ; Zhu RongChan1; Zhu XiangChan2
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2010-06-01 |
| 卷号 | 53期号:6页码:1407-1420 |
| 关键词 | harmonic functions uniformly integrable martingale SPV integrable non-symmetric Dirichlet forms non-symmetric Beurling-Deny decomposition Hunt processes |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-4001-z |
| 英文摘要 | In this paper, we extend the equivalence of the analytic and probabilistic notions of harmonicity in the context of Hunt processes associated with non-symmetric Dirichlet forms on locally compact separable metric spaces. Extensions to the processes associated with semi-Dirichlet forms and nearly symmetric right processes on Lusin spaces including infinite dimensional spaces are mentioned at the end of this paper. |
| 资助项目 | National Natural Science Foundation of China[10721101] ; National Basic Research Program of China[2006CB805900] ; Key Lab of Random Complex Structures and Data Science ; Chinese Academy of Sciences[2008DP173182] ; Sino-Germany |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000278963700001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9942]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhu RongChan |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma ZhiMing,Zhu RongChan,Zhu XiangChan. On notions of harmonicity for non-symmetric Dirichlet form[J]. SCIENCE CHINA-MATHEMATICS,2010,53(6):1407-1420. |
| APA | Ma ZhiMing,Zhu RongChan,&Zhu XiangChan.(2010).On notions of harmonicity for non-symmetric Dirichlet form.SCIENCE CHINA-MATHEMATICS,53(6),1407-1420. |
| MLA | Ma ZhiMing,et al."On notions of harmonicity for non-symmetric Dirichlet form".SCIENCE CHINA-MATHEMATICS 53.6(2010):1407-1420. |
入库方式： OAI收割
来源：数学与系统科学研究院
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