{"title":"Essential normality of principal submodules of the Hardy module on a strongly pseudo-convex domain","authors":"Yi Wang, Jingbo Xia","doi":"10.7900/jot.2018oct09.2224","DOIUrl":null,"url":null,"abstract":"Let Ω be a bounded, strongly pseudo-convex domain with smooth boundary in Cn. Suppose that h is an analytic function defined on an open set containing ¯¯¯¯Ω. We show that the principal submodule of the Hardy module H2(Ω) generated by h is p-essentially normal for p>n.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2020-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7900/jot.2018oct09.2224","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
Let Ω be a bounded, strongly pseudo-convex domain with smooth boundary in Cn. Suppose that h is an analytic function defined on an open set containing ¯¯¯¯Ω. We show that the principal submodule of the Hardy module H2(Ω) generated by h is p-essentially normal for p>n.
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The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.
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