{"title":"不同条件下的分数阶Poincaré不等式","authors":"Y. Sire, Yi Wang","doi":"10.6092/ISSN.2240-2829/7796","DOIUrl":null,"url":null,"abstract":"We survey on several fractional Poincare inequalities in several constexts: the Euclidean case, the case of Lie groups and the case of Riemannian manifolds.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"8 1","pages":"43-54"},"PeriodicalIF":0.2000,"publicationDate":"2018-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fractional Poincaré Inequalities in Various Settings\",\"authors\":\"Y. Sire, Yi Wang\",\"doi\":\"10.6092/ISSN.2240-2829/7796\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We survey on several fractional Poincare inequalities in several constexts: the Euclidean case, the case of Lie groups and the case of Riemannian manifolds.\",\"PeriodicalId\":41199,\"journal\":{\"name\":\"Bruno Pini Mathematical Analysis Seminar\",\"volume\":\"8 1\",\"pages\":\"43-54\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2018-05-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bruno Pini Mathematical Analysis Seminar\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6092/ISSN.2240-2829/7796\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bruno Pini Mathematical Analysis Seminar","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6092/ISSN.2240-2829/7796","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Fractional Poincaré Inequalities in Various Settings
We survey on several fractional Poincare inequalities in several constexts: the Euclidean case, the case of Lie groups and the case of Riemannian manifolds.