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Quasi-homeomorphisms and measures of finite energy integrals of generalized Dirichlet forms
Sun, W
2000-04-01
Source PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1000-9574
Volume16Issue:2Pages:325-336
AbstractWe 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.
Keywordgeneralized Dirichlet form quasi-homeomorphism measure of finite energy integral
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000086828600012
PublisherSPRINGER-VERLAG SINGAPORE PTE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15413
Collection中国科学院数学与系统科学研究院
Corresponding AuthorSun, W
AffiliationChinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
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.
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