{"title":"Some Operators on Minimal $$\\alpha $$ -Möbius Invariant Function Spaces","authors":"Zengjian Lou, Xiaojing Zhou","doi":"10.1007/s11785-024-01587-1","DOIUrl":null,"url":null,"abstract":"<p>In this paper, our primary focus is to study the boundedness and compactness of Volterra type operators and multiplication operators on minimal <span>\\(\\alpha \\)</span>-Möbius invariant function spaces. Additionally, we also present a characterization of the boundedness and compactness of Volterra type and multiplication operators from minimal <span>\\(\\alpha \\)</span>-Möbius invariant function spaces to Besov spaces.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01587-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, our primary focus is to study the boundedness and compactness of Volterra type operators and multiplication operators on minimal \(\alpha \)-Möbius invariant function spaces. Additionally, we also present a characterization of the boundedness and compactness of Volterra type and multiplication operators from minimal \(\alpha \)-Möbius invariant function spaces to Besov spaces.