On notions of harmonicity for non-symmetric Dirichlet form

doi:10.1007/s11425-010-4001-z

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	On notions of harmonicity for non-symmetric Dirichlet form
	Ma ZhiMing1 ; Zhu RongChan 1; Zhu XiangChan 2
	2010-06-01
Source Publication	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
Volume	53 Issue:6 Pages:1407-1420
Abstract	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.
Keyword	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
Language	英语
Funding Project	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 Research Area	Mathematics
WOS Subject	Mathematics, Applied ; Mathematics
WOS ID	WOS:000278963700001
Publisher	SCIENCE PRESS
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/9943
Collection	应用数学研究所
Corresponding Author	Zhu RongChan
Affiliation	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
Recommended Citation 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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