最小 $$α $$ - 莫比乌斯不变函数空间上的一些算子

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-08-29 DOI:10.1007/s11785-024-01587-1

Zengjian Lou, Xiaojing Zhou

{"title":"最小 $$α $$ - 莫比乌斯不变函数空间上的一些算子","authors":"Zengjian Lou, Xiaojing Zhou","doi":"10.1007/s11785-024-01587-1","DOIUrl":null,"url":null,"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.","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"97 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":\"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.\",\"PeriodicalId\":50654,\"journal\":{\"name\":\"Complex Analysis and Operator Theory\",\"volume\":\"97 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-08-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Analysis and Operator Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11785-024-01587-1\",\"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":"Complex Analysis and Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01587-1","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们的主要重点是研究最小（\α \）-莫比乌斯不变函数空间上的沃尔特拉型算子和乘法算子的有界性和紧凑性。此外，我们还提出了从最小（\α \）-莫比乌斯不变函数空间到贝索夫空间的沃尔特拉型算子和乘法算子的有界性和紧凑性的特征。

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

Some Operators on Minimal $$\alpha $$ -Möbius Invariant Function Spaces

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.

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

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.