用radon测度的加权偶表示实插值空间

IF 1.6 3区 数学 Q1 MATHEMATICS
Per G. Nilsson
{"title":"用radon测度的加权偶表示实插值空间","authors":"Per G. Nilsson","doi":"10.1007/s13324-025-01050-0","DOIUrl":null,"url":null,"abstract":"<div><p>Using couples of weighted Radon measures an extension of the J-method of interpolation is described. This method allows for the representation also of non-regular interpolation spaces. In particular, Banach couples with the Calderon–Mitjagin property has all its interpolation spaces described by this extension.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.6000,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Representation of real interpolation spaces using weighted couples of radon measures\",\"authors\":\"Per G. Nilsson\",\"doi\":\"10.1007/s13324-025-01050-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Using couples of weighted Radon measures an extension of the J-method of interpolation is described. This method allows for the representation also of non-regular interpolation spaces. In particular, Banach couples with the Calderon–Mitjagin property has all its interpolation spaces described by this extension.</p></div>\",\"PeriodicalId\":48860,\"journal\":{\"name\":\"Analysis and Mathematical Physics\",\"volume\":\"15 3\",\"pages\":\"\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2025-04-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis and Mathematical Physics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13324-025-01050-0\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s13324-025-01050-0","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

摘要

利用加权Radon测度对j插值法进行了推广。这种方法也允许表示非规则插值空间。特别地,具有Calderon-Mitjagin性质的Banach偶具有该扩展所描述的所有插值空间。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Representation of real interpolation spaces using weighted couples of radon measures

Using couples of weighted Radon measures an extension of the J-method of interpolation is described. This method allows for the representation also of non-regular interpolation spaces. In particular, Banach couples with the Calderon–Mitjagin property has all its interpolation spaces described by this extension.

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
Analysis and Mathematical Physics
Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.70
自引率
0.00%
发文量
122
期刊介绍: Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信