{"title":"Fock空间上Toeplitz算子和Hankel算子的混合乘积","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":"{\"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}","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}
Mixed products of Toeplitz and Hankel operators on the Fock space
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.
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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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