{"title":"具有有界符号的紧致Hankel算子","authors":"R. Hagger, J. Virtanen","doi":"10.7900/jot.2020apr27.2276","DOIUrl":null,"url":null,"abstract":"We give a new proof of the result that the Hankel operator Hf with a bounded symbol is compact on standard weighted Fock spaces F2α(Cn) if and only if H¯¯¯f is compact. Our proof uses limit operator techniques and extends to Fpα(Cn) when $1","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2019-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Compact Hankel operators with bounded symbols\",\"authors\":\"R. Hagger, J. Virtanen\",\"doi\":\"10.7900/jot.2020apr27.2276\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a new proof of the result that the Hankel operator Hf with a bounded symbol is compact on standard weighted Fock spaces F2α(Cn) if and only if H¯¯¯f is compact. Our proof uses limit operator techniques and extends to Fpα(Cn) when $1\",\"PeriodicalId\":50104,\"journal\":{\"name\":\"Journal of Operator Theory\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2019-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Operator Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7900/jot.2020apr27.2276\",\"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.2020apr27.2276","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
We give a new proof of the result that the Hankel operator Hf with a bounded symbol is compact on standard weighted Fock spaces F2α(Cn) if and only if H¯¯¯f is compact. Our proof uses limit operator techniques and extends to Fpα(Cn) when $1
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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