{"title":"Lp-inequalities and Parseval-type relations for the index 2F1-transform","authors":"B. J. González, E. Negrín","doi":"10.2298/fil2304087g","DOIUrl":null,"url":null,"abstract":"In this paper we consider a systematic study of several new Lp-boundedness properties for the index 2F1-transform over the spaces L?,p (R+), 1 ? p < ?, ? ? R, and L? (R+). We also obtain Parseval-type relations over these spaces.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/fil2304087g","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 consider a systematic study of several new Lp-boundedness properties for the index 2F1-transform over the spaces L?,p (R+), 1 ? p < ?, ? ? R, and L? (R+). We also obtain Parseval-type relations over these spaces.