{"title":"A note on cyclic vectors in Dirichlet-type spaces in the unit ball of \n${\\mathbb C}^n$","authors":"Dimitrios Vavitsas","doi":"10.4153/S0008439523000085","DOIUrl":null,"url":null,"abstract":"Abstract We characterize model polynomials that are cyclic in Dirichlet-type spaces in the unit ball of \n$\\mathbb C^n$\n , and we give a sufficient capacity condition in order to identify noncyclic vectors.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4153/S0008439523000085","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
Abstract We characterize model polynomials that are cyclic in Dirichlet-type spaces in the unit ball of
$\mathbb C^n$
, and we give a sufficient capacity condition in order to identify noncyclic vectors.
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