{"title":"非齐次中心Herz-Morrey-Musielak-Orlicz空间上极大算子、Hardy算子和Sobolev不等式的有界性","authors":"F. Maeda, Y. Mizuta, T. Ohno, T. Shimomura","doi":"10.32917/H2019141","DOIUrl":null,"url":null,"abstract":"Our aim in this paper is to deal with the boundedness of the HardyLittlewood maximal operator and the Hardy operator on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces and to establish a generalization of Sobolev’s inequalities for Riesz potentials of functions in such spaces.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Boundedness of maximal operator, Hardy operator and\\n Sobolev’s inequalities on non-homogeneous central Herz-Morrey-Musielak-Orlicz\\n spaces\",\"authors\":\"F. Maeda, Y. Mizuta, T. Ohno, T. Shimomura\",\"doi\":\"10.32917/H2019141\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Our aim in this paper is to deal with the boundedness of the HardyLittlewood maximal operator and the Hardy operator on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces and to establish a generalization of Sobolev’s inequalities for Riesz potentials of functions in such spaces.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2021-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.32917/H2019141\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.32917/H2019141","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Boundedness of maximal operator, Hardy operator and
Sobolev’s inequalities on non-homogeneous central Herz-Morrey-Musielak-Orlicz
spaces
Our aim in this paper is to deal with the boundedness of the HardyLittlewood maximal operator and the Hardy operator on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces and to establish a generalization of Sobolev’s inequalities for Riesz potentials of functions in such spaces.
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