{"title":"Sharp Second-Order Adams Inequalities in Lorentz–Sobolev Spaces","authors":"Hanli Tang","doi":"10.1007/s44007-023-00069-8","DOIUrl":null,"url":null,"abstract":"In this paper, we establish sharp subcritical and critical second-order Adams inequalities in Lorentz–Sobolev spaces. We also prove the subcritical and critical Adams inequalities are actually equivalent and our results extend existing ones in Tang (Potential Anal 53(1):297–314, 2020) to second order.","PeriodicalId":74051,"journal":{"name":"La matematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"La matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s44007-023-00069-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we establish sharp subcritical and critical second-order Adams inequalities in Lorentz–Sobolev spaces. We also prove the subcritical and critical Adams inequalities are actually equivalent and our results extend existing ones in Tang (Potential Anal 53(1):297–314, 2020) to second order.