{"title":"拟Banach情形下对数插值空间的等价定理","authors":"Blanca F. Besoy, F. Cobos","doi":"10.4171/ZAA/1670","DOIUrl":null,"url":null,"abstract":". We study the description by means of the J -functional of logarithmic interpolation spaces ( A 0 ; A 1 ) 1;q;A in the category of the p -normed quasi-Banach couples (0 < p (cid:20) 1). When ( A 0 ; A 1 ) is a Banach couple, it is known that the description changes depending on the relationship between q and A. In our more general setting, the parameter p also has an important role as the results show.","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2021-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Equivalence Theorem for Logarithmic Interpolation Spaces in the Quasi-Banach Case\",\"authors\":\"Blanca F. Besoy, F. Cobos\",\"doi\":\"10.4171/ZAA/1670\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We study the description by means of the J -functional of logarithmic interpolation spaces ( A 0 ; A 1 ) 1;q;A in the category of the p -normed quasi-Banach couples (0 < p (cid:20) 1). When ( A 0 ; A 1 ) is a Banach couple, it is known that the description changes depending on the relationship between q and A. In our more general setting, the parameter p also has an important role as the results show.\",\"PeriodicalId\":54402,\"journal\":{\"name\":\"Zeitschrift fur Analysis und ihre Anwendungen\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-01-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Zeitschrift fur Analysis und ihre Anwendungen\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4171/ZAA/1670\",\"RegionNum\":3,\"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":"Zeitschrift fur Analysis und ihre Anwendungen","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/ZAA/1670","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
The Equivalence Theorem for Logarithmic Interpolation Spaces in the Quasi-Banach Case
. We study the description by means of the J -functional of logarithmic interpolation spaces ( A 0 ; A 1 ) 1;q;A in the category of the p -normed quasi-Banach couples (0 < p (cid:20) 1). When ( A 0 ; A 1 ) is a Banach couple, it is known that the description changes depending on the relationship between q and A. In our more general setting, the parameter p also has an important role as the results show.
期刊介绍：
The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications.
To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
