{"title":"鞅Hardy-Orlicz-Lorentz空间的实插值","authors":"Wenfei Fan, Yanmeng Li, Lian Wu","doi":"10.4171/zaa/1726","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to provide a new proof of real interpolations for martingale Hardy–Orlicz–Lorentz spaces. Different from the usual proof, our approach does not rely on any atomic decompositions. Instead, we establish the result via new Holmstedt’s formulae in martingale Hardy–Orlicz type spaces.","PeriodicalId":54402,"journal":{"name":"Zeitschrift fur Analysis und ihre Anwendungen","volume":"5 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Real interpolations for martingale Hardy–Orlicz–Lorentz spaces\",\"authors\":\"Wenfei Fan, Yanmeng Li, Lian Wu\",\"doi\":\"10.4171/zaa/1726\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this paper is to provide a new proof of real interpolations for martingale Hardy–Orlicz–Lorentz spaces. Different from the usual proof, our approach does not rely on any atomic decompositions. Instead, we establish the result via new Holmstedt’s formulae in martingale Hardy–Orlicz type spaces.\",\"PeriodicalId\":54402,\"journal\":{\"name\":\"Zeitschrift fur Analysis und ihre Anwendungen\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Zeitschrift fur Analysis und ihre Anwendungen\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4171/zaa/1726\",\"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":"1085","ListUrlMain":"https://doi.org/10.4171/zaa/1726","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Real interpolations for martingale Hardy–Orlicz–Lorentz spaces
The purpose of this paper is to provide a new proof of real interpolations for martingale Hardy–Orlicz–Lorentz spaces. Different from the usual proof, our approach does not rely on any atomic decompositions. Instead, we establish the result via new Holmstedt’s formulae in martingale Hardy–Orlicz type spaces.
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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.
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