{"title":"Clifford分析中高奇点Teodorescu算子的性质","authors":"Li-Ping Wang, Na Xu","doi":"10.1109/ICMLC.2010.5580531","DOIUrl":null,"url":null,"abstract":"In this paper, we define a kind of singular Teodorescu operator with order n+α+1 in Lp space with valued in Clifford algebra. We discuss its boundedness and Hölder continuity. And the works lay a strong foundation for the studies of boundary value problems of degenerate equations in Clifford analysis. Moreover boundary value problems of various equations and extreme value problem of it's solution have been widely apply in theory of control, signal processing and so on.","PeriodicalId":126080,"journal":{"name":"2010 International Conference on Machine Learning and Cybernetics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The property of Teodorescu operator with higher singularity in Clifford analysis\",\"authors\":\"Li-Ping Wang, Na Xu\",\"doi\":\"10.1109/ICMLC.2010.5580531\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we define a kind of singular Teodorescu operator with order n+α+1 in Lp space with valued in Clifford algebra. We discuss its boundedness and Hölder continuity. And the works lay a strong foundation for the studies of boundary value problems of degenerate equations in Clifford analysis. Moreover boundary value problems of various equations and extreme value problem of it's solution have been widely apply in theory of control, signal processing and so on.\",\"PeriodicalId\":126080,\"journal\":{\"name\":\"2010 International Conference on Machine Learning and Cybernetics\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Machine Learning and Cybernetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMLC.2010.5580531\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Machine Learning and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMLC.2010.5580531","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The property of Teodorescu operator with higher singularity in Clifford analysis
In this paper, we define a kind of singular Teodorescu operator with order n+α+1 in Lp space with valued in Clifford algebra. We discuss its boundedness and Hölder continuity. And the works lay a strong foundation for the studies of boundary value problems of degenerate equations in Clifford analysis. Moreover boundary value problems of various equations and extreme value problem of it's solution have been widely apply in theory of control, signal processing and so on.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
