{"title":"Duality of generalized Hardy and BMO spaces associated with singular partial differential operator","authors":"A. Ghandouri, H. Mejjaoli, S. Omri","doi":"10.7153/oam-2023-17-09","DOIUrl":null,"url":null,"abstract":". First we de fi ne and study the generalized bounded mean ossilation space B mo α associated with the Riemann-Liouville operator R α . Next we prove the duality between B mo α and the genralized Hardy space H 1 α associated with R α . Mathematics subject classi fi cation (2020): 30H10, 30H35, 42A38.","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operators and Matrices","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/oam-2023-17-09","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. First we de fi ne and study the generalized bounded mean ossilation space B mo α associated with the Riemann-Liouville operator R α . Next we prove the duality between B mo α and the genralized Hardy space H 1 α associated with R α . Mathematics subject classi fi cation (2020): 30H10, 30H35, 42A38.
期刊介绍：
''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews.
''OaM'' is published quarterly, in March, June, September and December.
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