Reducing Subspaces for Toeplitz Operator T z 1 k 1 z 2 k 2 + a z ¯ 1 | Zendy

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Reducing Subspaces for Toeplitz Operator $T_{z_{1}^{k_{1}} z_{2}^{k_{2}} + a {\bar{z}}_{1DetailsCite Export Add to ListThe content you want is available to Zendy users. Already have an account? 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It is shown that the coefficient a ∈ 0,1 does not affect the reducing subspaces for T φ a . We also prove that, for every δ \u0026gt; 0 , weighted Dirichlet space D δ 2 D 2 is a weighted Hardy space which satisfies these assumptions. As an application, we describe the reducing subspaces for T φ a on D δ 2 D 2 and get the structure of commutant algebra V ∗ T φ a .","publicationName":"Hindawi Publishing Corporation","publicationYear":2022,"publicationType":"Journals","publicationDate":"2022-03-26T00:00:00Z","language":"eng","authors":["Changguo Wei","Xin Ding","Yanyue Shi"],"keywords":"","subjects":["mathematics","combinatorics"],"subSubjectsFull":["combinatorics","mathematics"],"permanentLink":"https://zendy.io/pdf-viewer/10.1155/2022/4288928","isPremium":false,"isPdfHostedByZendy":false,"isPdfDomainVerified":"invalid","licenseType":"cc-by","snip":"","snipYear":"","hIndex":28,"sjr":0.579,"doi":"10.1155/2022/4288928","pISSN":"2314-8888","eISSN":"2314-8896","issn":"","isbn":"","issue":"","volume":2022,"journalTitle":"journal of function spaces","zendyLink":"","downloadLink":"#","permanentLinkId":"10.1155/2022/4288928","firstPage":1,"lastPage":10,"resultScore":"","urlPdfSource":12,"urlFullTextSource":12,"pdfViewerUrl":"#","isPdf":true,"isPermalinkAvailableInRegion":true,"isPreview":false,"permalinkSearchProvider":"solr","isFetchingPermalinkDetails":false,"error":"","isPermaLinkedTitle":true}},"citation":{"entity":"","isLoading":false,"error":null},"preferenceSearch":{"enabled":false,"interests":[]}},"subscription":{"premiumStatus":{},"paymentGateway":null,"discount":null,"subscriptionPlan":{},"purchaseHistory":{},"paymentInfo":{},"selectedPlan":null,"selectedPaymentGateway":"","exisitngSubscriptionView":{"showCancelSubscriptionDialog":false,"showResubscribeDialog":false,"showCancelDowngradeConfirmationPopup":false},"upgradeDowngrade":{"error":""}},"topicRecommendations":{"combinedRecommendedPapers":[],"combinedRecommendedPapersLoading":false},"user":{"id":null,"phoneNumber":null,"role":"GUEST","firstName":null,"lastName":null,"email":null,"isEmailVerified":null,"regionName":null,"metaData":{"metaDataUserRole":null},"isAuthenticated":false,"error":null,"loading":false},"userPersonalization":{"pageNumber":0,"loading":false,"myLibrary":{"selectedTab":{"id":"read_history","name":"Read History"}},"myLists":{"selectedList":{},"isLoading":false,"reloadLists":false,"error":null,"data":[]},"savedPublications":{"data":[],"error":null,"isLoading":false,"total":0},"favoritedPublication":{"data":[],"error":"","total":0},"readHistory":{"data":[],"error":"","total":0},"publicationNotes":{"fetchNotes":false,"loading":false,"data":[],"error":""}}}}},"page":"/pdf-viewer/[...permanentLinkId]","query":{"permanentLinkId":["10.1155","2022","4288928"]},"buildId":"EcwEvrXCVv84bC8tqaO3y","isFallback":false,"gip":true,"locale":"en","locales":["en"],"defaultLocale":"en","scriptLoader":[]}}}$