{"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}
引用次数: 0
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.