KMS Of Academy of mathematics and systems sciences, CAS
| Quasi-homeomorphisms and measures of finite energy integrals of generalized Dirichlet forms | |
| Sun, W | |
| 2000-04-01 | |
| Source Publication | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| ISSN | 1000-9574 |
| Volume | 16Issue:2Pages:325-336 |
| Abstract | 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. |
| Keyword | generalized Dirichlet form quasi-homeomorphism measure of finite energy integral |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000086828600012 |
| Publisher | SPRINGER-VERLAG SINGAPORE PTE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/15413 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Sun, W |
| Affiliation | Chinese 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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