{"title":"Interpolation on weak martingale Hardy-type spaces associated with quasi-Banach function lattice","authors":"N. Silas, H. Tian","doi":"10.1007/s10474-023-01360-4","DOIUrl":null,"url":null,"abstract":"<div><p>We study the real interpolation spaces between weak martingale Hardy-type spaces <span>\\(WH_{X}^{s}(\\Omega)\\)</span> and martingale Hardy space <span>\\(H_{\\infty}^{s}(\\Omega)\\)</span> associated with quasi-Banach function lattice by using atomic characterizations of weak martingale Hardy-type spaces. As applications, we obtain the corresponding results on the weighted Lorentz space and the generalized grand Lebesgue space. We point out that even in these special cases, the results obtained in this article are also new.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-023-01360-4.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-023-01360-4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study the real interpolation spaces between weak martingale Hardy-type spaces \(WH_{X}^{s}(\Omega)\) and martingale Hardy space \(H_{\infty}^{s}(\Omega)\) associated with quasi-Banach function lattice by using atomic characterizations of weak martingale Hardy-type spaces. As applications, we obtain the corresponding results on the weighted Lorentz space and the generalized grand Lebesgue space. We point out that even in these special cases, the results obtained in this article are also new.
期刊介绍:
Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.