{"title":"BMO函数均值的连续性及某些奇异积分的Calderon-Zygmund性质","authors":"K. Yabuta","doi":"10.5036/BFSIU1968.15.1","DOIUrl":null,"url":null,"abstract":"In this note we shall show that certain bilinear singular integrals T(a,f) with symmetric property in some sense are bounded bilinear operators from BMO× Lp into Lp, more precisely, for any BMO function a the operator T(a,・) is a Calderon-Zygmund singular integral operator (Theorems 1 and 2). These results are, in a sense, extensions of the relating results in Baishansky and Coifman [1]. To prove the above, the Holder continuity of the mean values of BMO functions","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1983-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Continuity of the mean values of BMO functions and Calderon-Zygmund properties of certain singular integrals\",\"authors\":\"K. Yabuta\",\"doi\":\"10.5036/BFSIU1968.15.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this note we shall show that certain bilinear singular integrals T(a,f) with symmetric property in some sense are bounded bilinear operators from BMO× Lp into Lp, more precisely, for any BMO function a the operator T(a,・) is a Calderon-Zygmund singular integral operator (Theorems 1 and 2). These results are, in a sense, extensions of the relating results in Baishansky and Coifman [1]. To prove the above, the Holder continuity of the mean values of BMO functions\",\"PeriodicalId\":141145,\"journal\":{\"name\":\"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1983-05-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5036/BFSIU1968.15.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5036/BFSIU1968.15.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Continuity of the mean values of BMO functions and Calderon-Zygmund properties of certain singular integrals
In this note we shall show that certain bilinear singular integrals T(a,f) with symmetric property in some sense are bounded bilinear operators from BMO× Lp into Lp, more precisely, for any BMO function a the operator T(a,・) is a Calderon-Zygmund singular integral operator (Theorems 1 and 2). These results are, in a sense, extensions of the relating results in Baishansky and Coifman [1]. To prove the above, the Holder continuity of the mean values of BMO functions
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