{"title":"从贝索夫空间到某些解析函数空间的类塞萨洛算子","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":"{\"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}","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}
A Cesàro-like Operator from Besov Spaces to Some Spaces of Analytic Functions
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.
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