{"title":"与加权莫雷-赫兹空间上的奥普丹-切勒尼克变换及其换元相关的豪斯多夫算子的估计值","authors":"Ngo Thi Hong, Dao Van Duong","doi":"10.1007/s11868-024-00625-y","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we give necessary and sufficient conditions for the boundedness of Hausdorff operator on power-weighted Morrey–Herz spaces that are associated with the Opdam–Cherednik transform. Moreover, we provide some Lipschitz estimates for its commutator on such spaces.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"33 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces\",\"authors\":\"Ngo Thi Hong, Dao Van Duong\",\"doi\":\"10.1007/s11868-024-00625-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we give necessary and sufficient conditions for the boundedness of Hausdorff operator on power-weighted Morrey–Herz spaces that are associated with the Opdam–Cherednik transform. Moreover, we provide some Lipschitz estimates for its commutator on such spaces.</p>\",\"PeriodicalId\":48793,\"journal\":{\"name\":\"Journal of Pseudo-Differential Operators and Applications\",\"volume\":\"33 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-08-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Pseudo-Differential Operators and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11868-024-00625-y\",\"RegionNum\":3,\"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":"Journal of Pseudo-Differential Operators and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11868-024-00625-y","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces
In this paper, we give necessary and sufficient conditions for the boundedness of Hausdorff operator on power-weighted Morrey–Herz spaces that are associated with the Opdam–Cherednik transform. Moreover, we provide some Lipschitz estimates for its commutator on such spaces.
期刊介绍：
The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.
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