{"title":"Hardy–Littlewood–Sobolev Inequality for Upper Half Space","authors":"V. P. Anoop, S. Parui","doi":"10.5802/ambp.401","DOIUrl":null,"url":null,"abstract":"We define an extension operator and study (L , L) boundedness of Hardy–Littlewood–Sobolev inequality and weighted Hardy–Littlewood–Sobolev inequality on upper Half space for the Dunkl transform.","PeriodicalId":52347,"journal":{"name":"Annales Mathematiques Blaise Pascal","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematiques Blaise Pascal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/ambp.401","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
We define an extension operator and study (L , L) boundedness of Hardy–Littlewood–Sobolev inequality and weighted Hardy–Littlewood–Sobolev inequality on upper Half space for the Dunkl transform.