{"title":"Lorentz-Sobolev空间中的尖锐二阶Adams不等式","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":"{\"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}","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}
Sharp Second-Order Adams Inequalities in Lorentz–Sobolev Spaces
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.