On notions of harmonicity for non-symmetric Dirichlet form

doi:10.1007/s11425-010-4001-z

CSpace > 应用数学研究所

	On notions of harmonicity for non-symmetric Dirichlet form
	Ma ZhiMing1 ; Zhu RongChan 1; Zhu XiangChan 2
	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.