Quasi-regular topologies for Dirichlet forms on arbitrary Hausdorff spaces

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	Quasi-regular topologies for Dirichlet forms on arbitrary Hausdorff spaces
	Dong, Z
	1998-12-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1000-9574
卷号	14 页码:683-690
摘要	A topology tau on a measure space (E, B, m) is called E-quasi-regular if tau makes a given Dirichlet form (E, D(E)) on L-2(E; m) quasi-regular. In this paper we give a measure theoretical characterization of E-quasi-regular topologies, which is a problem raised by the famous mathematician Mokobodzki in 1991. Also we extend this result to the positivity preserving coercive form. Lastly we give an application of Theorem 1.2.
关键词	Dirichlet forms quasi-regular topology quasi-regularity
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000079582100012
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/13989
专题	应用数学研究所
通讯作者	Dong, Z
作者单位	Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Dong, Z. Quasi-regular topologies for Dirichlet forms on arbitrary Hausdorff spaces[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,1998,14:683-690.
APA	Dong, Z.(1998).Quasi-regular topologies for Dirichlet forms on arbitrary Hausdorff spaces.ACTA MATHEMATICA SINICA-ENGLISH SERIES,14,683-690.
MLA	Dong, Z."Quasi-regular topologies for Dirichlet forms on arbitrary Hausdorff spaces".ACTA MATHEMATICA SINICA-ENGLISH SERIES 14(1998):683-690.