{"title":"小汉克尔算子从布洛赫输入空间到另一个","authors":"Kiyoki Tanaka, Satoshi Yamaji","doi":"10.1007/s43036-024-00405-x","DOIUrl":null,"url":null,"abstract":"<div><p>A characterization for the boundedness of multiplication and composition operators on Bloch type spaces is well-known. Wu, Zhao and Zorboska gave necessary and sufficient conditions for Toeplitz operators on Bloch type spaces to be bounded. In this paper, we discuss the boundedness of little Hankel operators with anti holomorphic symbols from a Bloch type space to an another Bloch type space.</p></div>","PeriodicalId":44371,"journal":{"name":"Advances in Operator Theory","volume":"10 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Little Hankel operators from Bloch type spaces into another\",\"authors\":\"Kiyoki Tanaka, Satoshi Yamaji\",\"doi\":\"10.1007/s43036-024-00405-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A characterization for the boundedness of multiplication and composition operators on Bloch type spaces is well-known. Wu, Zhao and Zorboska gave necessary and sufficient conditions for Toeplitz operators on Bloch type spaces to be bounded. In this paper, we discuss the boundedness of little Hankel operators with anti holomorphic symbols from a Bloch type space to an another Bloch type space.</p></div>\",\"PeriodicalId\":44371,\"journal\":{\"name\":\"Advances in Operator Theory\",\"volume\":\"10 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-11-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Operator Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s43036-024-00405-x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Operator Theory","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s43036-024-00405-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Little Hankel operators from Bloch type spaces into another
A characterization for the boundedness of multiplication and composition operators on Bloch type spaces is well-known. Wu, Zhao and Zorboska gave necessary and sufficient conditions for Toeplitz operators on Bloch type spaces to be bounded. In this paper, we discuss the boundedness of little Hankel operators with anti holomorphic symbols from a Bloch type space to an another Bloch type space.
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