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Effective intervals and regular Dirichlet subspaces

文献类型：期刊论文

作者Li, Liping2; Sun, Wenjie1,4; Ying, Jiangang3
刊名STOCHASTIC PROCESSES AND THEIR APPLICATIONS
出版日期2020-10-01
卷号130期号:10页码:6064-6093
关键词Dirichlet forms Regular Dirichlet subspaces One-dimensional symmetric diffusions Scale functions
ISSN号0304-4149
DOI10.1016/j.spa.2020.05.003
英文摘要It is shown in Li and Ying (2019) that a regular and local Dirichlet form on an interval can be represented by so-called effective intervals with scale functions. This paper focuses on how to operate on effective intervals to obtain regular Dirichlet subspaces. The first result is a complete characterization for a Dirichlet form to be a regular subspace of such a Dirichlet form in terms of effective intervals. Then we give an explicit road map how to obtain all regular Dirichlet subspaces from a local and regular Dirichlet form on an interval, by a series of intuitive operations on the effective intervals in the representation above. Finally applying previous results, we shall prove that every regular and local Dirichlet form has a special standard core generated by a continuous and strictly increasing function. (C) 2020 Elsevier B.V. All rights reserved.
资助项目NSFC[11871162] ; NSFC[11688101] ; NSFC[11801546] ; NSFC[11931004] ; Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182] ; National Postdoctoral Program for Innovative Talents of China[BX20190357]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000562734000007
出版者ELSEVIER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/52027]  
专题应用数学研究所
通讯作者Sun, Wenjie
作者单位1.Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, HCMS, RCSDS, Beijing 100190, Peoples R China
3.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Li, Liping,Sun, Wenjie,Ying, Jiangang. Effective intervals and regular Dirichlet subspaces[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2020,130(10):6064-6093.
APA Li, Liping,Sun, Wenjie,&Ying, Jiangang.(2020).Effective intervals and regular Dirichlet subspaces.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,130(10),6064-6093.
MLA Li, Liping,et al."Effective intervals and regular Dirichlet subspaces".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 130.10(2020):6064-6093.

入库方式： OAI收割

来源：数学与系统科学研究院

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