{"title":"Campanato–Morrey spaces and variable Riesz potentials","authors":"T. Ohno, T. Shimomura","doi":"10.1007/s10474-024-01465-4","DOIUrl":null,"url":null,"abstract":"<div><p>The aim in this note is to show that the variable Riesz potential operator <span>\\(I_{\\alpha(\\cdot)}\\)</span> embeds variable exponent grand Morrey spaces <span>\\(L^{p(\\cdot)-0,\\nu(\\cdot),\\theta}(G)\\)</span> into Campanato–Morrey spaces. </p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"174 1","pages":"62 - 74"},"PeriodicalIF":0.6000,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-024-01465-4","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
The aim in this note is to show that the variable Riesz potential operator \(I_{\alpha(\cdot)}\) embeds variable exponent grand Morrey spaces \(L^{p(\cdot)-0,\nu(\cdot),\theta}(G)\) into Campanato–Morrey spaces.
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.
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