{"title":"A Cesàro-like Operator from Besov Spaces to Some Spaces of Analytic Functions","authors":"Fangmei Sun, Fangqin Ye, Liuchang Zhou","doi":"10.1007/s40315-024-00542-7","DOIUrl":null,"url":null,"abstract":"<p>In this paper, for <span>\\(p>1\\)</span> and <span>\\(s>1\\)</span>, we characterize completely the boundedness and compactness of a Cesàro-like operator from the Besov space <span>\\(B_p\\)</span> into a Banach space <i>X</i> between the mean Lipschitz space <span>\\(\\Lambda ^s_{1/s}\\)</span> and the Bloch space. In particular, for <span>\\(p=s=2\\)</span>, we complete a previous result from the literature.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","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/s40315-024-00542-7","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, for \(p>1\) and \(s>1\), we characterize completely the boundedness and compactness of a Cesàro-like operator from the Besov space \(B_p\) into a Banach space X between the mean Lipschitz space \(\Lambda ^s_{1/s}\) and the Bloch space. In particular, for \(p=s=2\), we complete a previous result from the literature.