{"title":"Mixed products of Toeplitz and Hankel operators on the Fock space","authors":"Pan Ma, Fugang Yan, Dechao Zheng, Kehe Zhu","doi":"10.7900/jot.2018dec10.2246","DOIUrl":null,"url":null,"abstract":"For entire functions f and g we determine exactly when the product H¯¯¯fT¯¯¯g of the Hankel operator H¯¯¯f and the Toeplitz operator T¯¯¯g is bounded on the Fock space F2α. This solves a natural companion to Sarason's Toeplitz product problem.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2020-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7900/jot.2018dec10.2246","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: 4
Abstract
For entire functions f and g we determine exactly when the product H¯¯¯fT¯¯¯g of the Hankel operator H¯¯¯f and the Toeplitz operator T¯¯¯g is bounded on the Fock space F2α. This solves a natural companion to Sarason's Toeplitz product problem.
期刊介绍：
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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