Besov-Morrey空间与Volterra积分算子

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/mia-2021-24-59

R. Yang, Xiangling Zhu

{"title":"Besov-Morrey空间与Volterra积分算子","authors":"R. Yang, Xiangling Zhu","doi":"10.7153/mia-2021-24-59","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a class of Besov-Morrey spaces Bp (s) . For any positive Borel measure μ , we characterize the boundedness and compactness of the identity operator from Bp (s) spaces into tent spaces T q t (μ) . As an application, the boundedness, compactness and essential norm of the Volterra integral operator Tg from Bp (s) spaces to some general function spaces are also investigated. Mathematics subject classification (2020): 30H25, 47B38.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Besov-Morrey spaces and Volterra integral operator\",\"authors\":\"R. Yang, Xiangling Zhu\",\"doi\":\"10.7153/mia-2021-24-59\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce a class of Besov-Morrey spaces Bp (s) . For any positive Borel measure μ , we characterize the boundedness and compactness of the identity operator from Bp (s) spaces into tent spaces T q t (μ) . As an application, the boundedness, compactness and essential norm of the Volterra integral operator Tg from Bp (s) spaces to some general function spaces are also investigated. Mathematics subject classification (2020): 30H25, 47B38.\",\"PeriodicalId\":49868,\"journal\":{\"name\":\"Mathematical Inequalities & Applications\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Inequalities & Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/mia-2021-24-59\",\"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":"Mathematical Inequalities & Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/mia-2021-24-59","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: 2

摘要

本文引入了一类Besov-Morrey空间Bp (s)。对于任意正的Borel测度μ，我们刻画了从Bp (s)空间到帐篷空间tqt (μ)的恒等算子的有界性和紧性。作为应用，研究了Volterra积分算子Tg从Bp (s)空间到某些一般函数空间的有界性、紧性和本质范数。数学学科分类(2020):30H25, 47B38。

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

Besov-Morrey spaces and Volterra integral operator

In this paper, we introduce a class of Besov-Morrey spaces Bp (s) . For any positive Borel measure μ , we characterize the boundedness and compactness of the identity operator from Bp (s) spaces into tent spaces T q t (μ) . As an application, the boundedness, compactness and essential norm of the Volterra integral operator Tg from Bp (s) spaces to some general function spaces are also investigated. Mathematics subject classification (2020): 30H25, 47B38.

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

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.