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FUKUSHIMA TYPE DECOMPOSITION FOR SEMI-DIRICHLET FORMS
Ma, Zhi-Ming1; Sun, Wei2; Wang, Li-Fei3
2016-03-01
发表期刊TOHOKU MATHEMATICAL JOURNAL
ISSN0040-8735
卷号68期号:1页码:1-27
摘要We present a Fukushima type decomposition in the setting of general quasi regular semi-Dirichlet forms. The decomposition is then employed to give a transformation formula for martingale additive functionals. Applications of the results to some concrete examples of semi-Dirichlet forms are given at the end of the paper. We discuss also the uniqueness question about the Doob-Meyer decomposition on optional sets of interval type.
关键词Fukushima type decomposition quasi-regular semi-Dirichlet forms stochastic sets of interval type transformation formula for martingale additive functionals
语种英语
资助项目973 project[2011CB808000] ; NCMIS ; NSFC[11021161] ; NSERC[311945-2013]
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000375364700001
出版者TOHOKU UNIVERSITY
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/22561
专题应用数学研究所
通讯作者Ma, Zhi-Ming; Sun, Wei; Wang, Li-Fei
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhong Guan Cun East Rd, Beijing 100190, Peoples R China
2.Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada
3.Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Peoples R China
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GB/T 7714
Ma, Zhi-Ming,Sun, Wei,Wang, Li-Fei. FUKUSHIMA TYPE DECOMPOSITION FOR SEMI-DIRICHLET FORMS[J]. TOHOKU MATHEMATICAL JOURNAL,2016,68(1):1-27.
APA Ma, Zhi-Ming,Sun, Wei,&Wang, Li-Fei.(2016).FUKUSHIMA TYPE DECOMPOSITION FOR SEMI-DIRICHLET FORMS.TOHOKU MATHEMATICAL JOURNAL,68(1),1-27.
MLA Ma, Zhi-Ming,et al."FUKUSHIMA TYPE DECOMPOSITION FOR SEMI-DIRICHLET FORMS".TOHOKU MATHEMATICAL JOURNAL 68.1(2016):1-27.
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