{"title":"Bloch空间中Möbius不变函数空间的复合运算符和闭包","authors":"L. X. Zhang","doi":"10.7153/MIA-2021-24-04","DOIUrl":null,"url":null,"abstract":". Closures of a class of M¨obius invariant function spaces in the Bloch space are investi- gated in this paper. Moreover, the boundedness and compactness of composition operators from the Bloch space to closures of such M¨obius invariant space in the Bloch space are characterized. Mathematics subject classi fi cation (2010): 30H30, 30H99, 47B33.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Composition operators and closures of a class of Möbius invariant function spaces in the Bloch space\",\"authors\":\"L. X. Zhang\",\"doi\":\"10.7153/MIA-2021-24-04\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Closures of a class of M¨obius invariant function spaces in the Bloch space are investi- gated in this paper. Moreover, the boundedness and compactness of composition operators from the Bloch space to closures of such M¨obius invariant space in the Bloch space are characterized. Mathematics subject classi fi cation (2010): 30H30, 30H99, 47B33.\",\"PeriodicalId\":49868,\"journal\":{\"name\":\"Mathematical Inequalities & Applications\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Inequalities & Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/MIA-2021-24-04\",\"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":"Mathematical Inequalities & Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/MIA-2021-24-04","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Composition operators and closures of a class of Möbius invariant function spaces in the Bloch space
. Closures of a class of M¨obius invariant function spaces in the Bloch space are investi- gated in this paper. Moreover, the boundedness and compactness of composition operators from the Bloch space to closures of such M¨obius invariant space in the Bloch space are characterized. Mathematics subject classi fi cation (2010): 30H30, 30H99, 47B33.
期刊介绍:
''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.