Quasi-homeomorphisms and measures of finite energy integrals of generalized Dirichlet forms

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	Quasi-homeomorphisms and measures of finite energy integrals of generalized Dirichlet forms
	Sun, W
	2000-04-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1000-9574
卷号	16 期号:2 页码:325-336
摘要	We introduce the quasi-homeomorphisms of generalized Dirichlet forms and prove that any quasi-regular generalized Dirichlet form is quasi-homeomorphic to a semi-regular generalized Dirichlet form. Moreover, we apply this quasi-homeomorphism method to study the measures of finite energy integrals of generalized Dirichlet forms. We show that any 1-coexcessive function which is dominated by a function in (F) over cap is associated with a measure of finite energy integral. Consequently, we Drove that a Borel set B is epsilon-exceptional if and only if mu(B) = 0 for any measure mu of finite energy integral.
关键词	generalized Dirichlet form quasi-homeomorphism measure of finite energy integral
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000086828600012
出版者	SPRINGER-VERLAG SINGAPORE PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15413
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, W
作者单位	Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sun, W. Quasi-homeomorphisms and measures of finite energy integrals of generalized Dirichlet forms[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2000,16(2):325-336.
APA	Sun, W.(2000).Quasi-homeomorphisms and measures of finite energy integrals of generalized Dirichlet forms.ACTA MATHEMATICA SINICA-ENGLISH SERIES,16(2),325-336.
MLA	Sun, W."Quasi-homeomorphisms and measures of finite energy integrals of generalized Dirichlet forms".ACTA MATHEMATICA SINICA-ENGLISH SERIES 16.2(2000):325-336.