{"title":"指标2f1变换的lp不等式和parseval型关系","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":"{\"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}","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}
Lp-inequalities and Parseval-type relations for the index 2F1-transform
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.
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