{"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":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Filomat","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/fil2304087g","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","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.