从贝索夫空间到某些解析函数空间的类塞萨洛算子

IF 0.6 4区数学 Q3 MATHEMATICS

Computational Methods and Function Theory Pub Date : 2024-05-15 DOI:10.1007/s40315-024-00542-7

Fangmei Sun, Fangqin Ye, Liuchang Zhou

{"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":"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.","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":"87 1","pages":""},"PeriodicalIF":0.6000,"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\":\"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.\",\"PeriodicalId\":49088,\"journal\":{\"name\":\"Computational Methods and Function Theory\",\"volume\":\"87 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-05-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational Methods and Function Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s40315-024-00542-7\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Methods and Function Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s40315-024-00542-7","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，对于\(p>1\)和\(s>1\)，我们完全描述了从贝索夫空间\(B_p\)到介于平均利普齐兹空间\(\Lambda ^s_{1/s}\)和布洛赫空间之间的巴拿赫空间X的类塞萨罗算子的有界性和紧凑性。特别是，对于 \(p=s=2\)，我们完成了之前文献中的一个结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Computational Methods and Function Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： CMFT is an international mathematics journal which publishes carefully selected original research papers in complex analysis (in a broad sense), and on applications or computational methods related to complex analysis. Survey articles of high standard and current interest can be considered for publication as well.