{"title":"Campanato空间上的广义分数型积分算子及其双predual","authors":"S. Yamaguchi, E. Nakai","doi":"10.5036/mjiu.53.17","DOIUrl":null,"url":null,"abstract":"In this paper we prove the boundedness of the generalized fractional integral operator I ρ on generalized Campanato spaces with variable growth condition, which is a generalization and improvement of previous results, and then, we establish the boundedness of I ρ on their bi-preduals. We also prove the boundedness of I ρ on their preduals by the duality.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"9 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Generalized fractional integral operators on Campanato spaces and their bi-preduals\",\"authors\":\"S. Yamaguchi, E. Nakai\",\"doi\":\"10.5036/mjiu.53.17\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we prove the boundedness of the generalized fractional integral operator I ρ on generalized Campanato spaces with variable growth condition, which is a generalization and improvement of previous results, and then, we establish the boundedness of I ρ on their bi-preduals. We also prove the boundedness of I ρ on their preduals by the duality.\",\"PeriodicalId\":18362,\"journal\":{\"name\":\"Mathematical Journal of Ibaraki University\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Journal of Ibaraki University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5036/mjiu.53.17\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Journal of Ibaraki University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5036/mjiu.53.17","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized fractional integral operators on Campanato spaces and their bi-preduals
In this paper we prove the boundedness of the generalized fractional integral operator I ρ on generalized Campanato spaces with variable growth condition, which is a generalization and improvement of previous results, and then, we establish the boundedness of I ρ on their bi-preduals. We also prove the boundedness of I ρ on their preduals by the duality.
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