{"title":"双线性极大算子对易子的正则性","authors":"Guoru Wang, Feng Liu","doi":"10.1216/rmj.2023.53.1609","DOIUrl":null,"url":null,"abstract":"We introduce and study the regularity properties of the commutator of the bilinear maximal operator and the bilinear maximal commutator. We establish some new bounds for the weak gradient of the above commutators. We also obtain the boundedness and continuity of the above commutators on the Triebel–Lizorkin spaces and Besov spaces.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"38 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"REGULARITY OF COMMUTATORS OF THE BILINEAR MAXIMAL OPERATOR\",\"authors\":\"Guoru Wang, Feng Liu\",\"doi\":\"10.1216/rmj.2023.53.1609\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce and study the regularity properties of the commutator of the bilinear maximal operator and the bilinear maximal commutator. We establish some new bounds for the weak gradient of the above commutators. We also obtain the boundedness and continuity of the above commutators on the Triebel–Lizorkin spaces and Besov spaces.\",\"PeriodicalId\":49591,\"journal\":{\"name\":\"Rocky Mountain Journal of Mathematics\",\"volume\":\"38 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Rocky Mountain Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1216/rmj.2023.53.1609\",\"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":"Rocky Mountain Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1216/rmj.2023.53.1609","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
REGULARITY OF COMMUTATORS OF THE BILINEAR MAXIMAL OPERATOR
We introduce and study the regularity properties of the commutator of the bilinear maximal operator and the bilinear maximal commutator. We establish some new bounds for the weak gradient of the above commutators. We also obtain the boundedness and continuity of the above commutators on the Triebel–Lizorkin spaces and Besov spaces.
期刊介绍：
Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles.
The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics.
In addition, the journal publishes specialized conference proceedings.
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