{"title":"Ohsawa-Takegoshi扩展定理的初等证明","authors":"Adachi Kenzô","doi":"10.5036/MJIU.45.33","DOIUrl":null,"url":null,"abstract":"In this paper we give an alternative proof of the Ohsawa-Takegoshi extension theorem. We prove the theorem using three weight functions which Hörmander used to obtain L estimates for solutions of the ∂̄ problem in pseudoconvex domains.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"45 1","pages":"33-51"},"PeriodicalIF":0.0000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An elementary proof of the Ohsawa-Takegoshi extension theorem\",\"authors\":\"Adachi Kenzô\",\"doi\":\"10.5036/MJIU.45.33\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we give an alternative proof of the Ohsawa-Takegoshi extension theorem. We prove the theorem using three weight functions which Hörmander used to obtain L estimates for solutions of the ∂̄ problem in pseudoconvex domains.\",\"PeriodicalId\":18362,\"journal\":{\"name\":\"Mathematical Journal of Ibaraki University\",\"volume\":\"45 1\",\"pages\":\"33-51\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Journal of Ibaraki University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5036/MJIU.45.33\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Journal of Ibaraki University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5036/MJIU.45.33","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An elementary proof of the Ohsawa-Takegoshi extension theorem
In this paper we give an alternative proof of the Ohsawa-Takegoshi extension theorem. We prove the theorem using three weight functions which Hörmander used to obtain L estimates for solutions of the ∂̄ problem in pseudoconvex domains.
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