{"title":"关于Hamza定理的更多信息","authors":"Wenjie Sun, J. Ying","doi":"10.18910/76673","DOIUrl":null,"url":null,"abstract":"In this short article, we give a necessary and su ffi cient condition for the form (1.3), like the one in Hamza’s theorem, to be closable and prove that every regular and strongly local Dirichlet form is the closure of a form of Hamza’s type, which can be represented in terms of e ff ective intervals introduced in [7].","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":"57 1","pages":"563-573"},"PeriodicalIF":0.5000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"More about Hamza's Theorem\",\"authors\":\"Wenjie Sun, J. Ying\",\"doi\":\"10.18910/76673\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this short article, we give a necessary and su ffi cient condition for the form (1.3), like the one in Hamza’s theorem, to be closable and prove that every regular and strongly local Dirichlet form is the closure of a form of Hamza’s type, which can be represented in terms of e ff ective intervals introduced in [7].\",\"PeriodicalId\":54660,\"journal\":{\"name\":\"Osaka Journal of Mathematics\",\"volume\":\"57 1\",\"pages\":\"563-573\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2020-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Osaka Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.18910/76673\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Osaka Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18910/76673","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this short article, we give a necessary and su ffi cient condition for the form (1.3), like the one in Hamza’s theorem, to be closable and prove that every regular and strongly local Dirichlet form is the closure of a form of Hamza’s type, which can be represented in terms of e ff ective intervals introduced in [7].
期刊介绍:
Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.