KMS Of Academy of mathematics and systems sciences, CAS
| Quasi-regular topologies for Dirichlet forms on arbitrary Hausdorff spaces | |
Dong, Z
| |
| 1998-12-01 | |
| Source Publication | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| ISSN | 1000-9574 |
| Volume | 14Pages:683-690 |
| Abstract | 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. |
| Keyword | Dirichlet forms quasi-regular topology quasi-regularity |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000079582100012 |
| Publisher | SPRINGER-VERLAG SINGAPORE PTE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/13989 |
| Collection | 应用数学研究所 |
| Corresponding Author | Dong, Z |
| Affiliation | Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China |
| Recommended Citation 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. |
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