{"title":"单位球${\\mathbb C}^n$中dirichlet型空间中循环向量的注释","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":"{\"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}","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}
A note on cyclic vectors in Dirichlet-type spaces in the unit ball of
${\mathbb C}^n$
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.