KMS Of Academy of mathematics and systems sciences, CAS
On notions of harmonicity for non-symmetric Dirichlet form | |
Ma ZhiMing1; Zhu RongChan1; Zhu XiangChan2 | |
2010-06-01 | |
发表期刊 | SCIENCE CHINA-MATHEMATICS |
ISSN | 1674-7283 |
卷号 | 53期号:6页码:1407-1420 |
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. |
关键词 | harmonic functions uniformly integrable martingale SPV integrable non-symmetric Dirichlet forms non-symmetric Beurling-Deny decomposition Hunt processes |
DOI | 10.1007/s11425-010-4001-z |
语种 | 英语 |
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 |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000278963700001 |
出版者 | SCIENCE PRESS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/9943 |
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. |
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