{"title":"临界指标下三线性希尔伯特变换的无界性","authors":"Y. Komori‐Furuya","doi":"10.4134/JKMS.J200656","DOIUrl":null,"url":null,"abstract":". Demeter [1] and Kuk and Lee [5] proved the unboundedness of the trilinear Hilbert transforms H a,b,c under the critical index 1 / 2 for some parameters a,b and c . We show the unboundedness of H a,b,c for any parameters.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Unboundedness of the trilinear Hilbert transform under the critical index\",\"authors\":\"Y. Komori‐Furuya\",\"doi\":\"10.4134/JKMS.J200656\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Demeter [1] and Kuk and Lee [5] proved the unboundedness of the trilinear Hilbert transforms H a,b,c under the critical index 1 / 2 for some parameters a,b and c . We show the unboundedness of H a,b,c for any parameters.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2021-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4134/JKMS.J200656\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4134/JKMS.J200656","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Unboundedness of the trilinear Hilbert transform under the critical index
. Demeter [1] and Kuk and Lee [5] proved the unboundedness of the trilinear Hilbert transforms H a,b,c under the critical index 1 / 2 for some parameters a,b and c . We show the unboundedness of H a,b,c for any parameters.
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