{"title":"关于dunkl型修正morrey空间中dunkl型极大交换子的有界性","authors":"S. Hasanli","doi":"10.12732/ijam.v33i3.9","DOIUrl":null,"url":null,"abstract":"In this paper we consider the generalized shift operator, associated with the Dunkl operator and we investigate maximal commutators, commutators of singular integral operators and commutators of the fractional integral operators associated with the generalized shift operator. The boundedness of the Dunkl-type maximal commutator Mb,α from the Dunkl-type modified Morrey space M̃p,λ,α(R) to M̃p,λ,α(R) for all 1 < p < ∞ when b ∈ BMOα(R) are proved. AMS Subject Classification: 42B20, 42B25, 42B35","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"27 1","pages":"493"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON THE BOUNDEDNESS OF DUNKL-TYPE MAXIMAL COMMUTATORS IN THE DUNKL-TYPE MODIFIED MORREY SPACES\",\"authors\":\"S. Hasanli\",\"doi\":\"10.12732/ijam.v33i3.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we consider the generalized shift operator, associated with the Dunkl operator and we investigate maximal commutators, commutators of singular integral operators and commutators of the fractional integral operators associated with the generalized shift operator. The boundedness of the Dunkl-type maximal commutator Mb,α from the Dunkl-type modified Morrey space M̃p,λ,α(R) to M̃p,λ,α(R) for all 1 < p < ∞ when b ∈ BMOα(R) are proved. AMS Subject Classification: 42B20, 42B25, 42B35\",\"PeriodicalId\":14365,\"journal\":{\"name\":\"International journal of pure and applied mathematics\",\"volume\":\"27 1\",\"pages\":\"493\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of pure and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v33i3.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v33i3.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ON THE BOUNDEDNESS OF DUNKL-TYPE MAXIMAL COMMUTATORS IN THE DUNKL-TYPE MODIFIED MORREY SPACES
In this paper we consider the generalized shift operator, associated with the Dunkl operator and we investigate maximal commutators, commutators of singular integral operators and commutators of the fractional integral operators associated with the generalized shift operator. The boundedness of the Dunkl-type maximal commutator Mb,α from the Dunkl-type modified Morrey space M̃p,λ,α(R) to M̃p,λ,α(R) for all 1 < p < ∞ when b ∈ BMOα(R) are proved. AMS Subject Classification: 42B20, 42B25, 42B35
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