{"title":"第二汉克尔-克利福德变换的博厄斯型定理","authors":"Ayoub Mahfoud, Mohamed El Hamma","doi":"10.1007/s11565-023-00471-8","DOIUrl":null,"url":null,"abstract":"<div><p>The purpose of the present work is to study the necessary and sufficient condition in terms of the second Hankel–Clifford transform <span>\\(h_{2,\\mu }(f)\\)</span>, to ensure that <i>f</i> belong either to one of the generalized Lipschitz classes <span>\\(H_{\\alpha }^{m}\\)</span> and <span>\\(h_{\\alpha }^{m}\\)</span> for <span>\\(\\alpha >0\\)</span>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 2","pages":"273 - 283"},"PeriodicalIF":0.0000,"publicationDate":"2023-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boas-type theorems for the second Hankel–Clifford transform\",\"authors\":\"Ayoub Mahfoud, Mohamed El Hamma\",\"doi\":\"10.1007/s11565-023-00471-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The purpose of the present work is to study the necessary and sufficient condition in terms of the second Hankel–Clifford transform <span>\\\\(h_{2,\\\\mu }(f)\\\\)</span>, to ensure that <i>f</i> belong either to one of the generalized Lipschitz classes <span>\\\\(H_{\\\\alpha }^{m}\\\\)</span> and <span>\\\\(h_{\\\\alpha }^{m}\\\\)</span> for <span>\\\\(\\\\alpha >0\\\\)</span>.</p></div>\",\"PeriodicalId\":35009,\"journal\":{\"name\":\"Annali dell''Universita di Ferrara\",\"volume\":\"70 2\",\"pages\":\"273 - 283\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-08-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali dell''Universita di Ferrara\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11565-023-00471-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-023-00471-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
Boas-type theorems for the second Hankel–Clifford transform
The purpose of the present work is to study the necessary and sufficient condition in terms of the second Hankel–Clifford transform \(h_{2,\mu }(f)\), to ensure that f belong either to one of the generalized Lipschitz classes \(H_{\alpha }^{m}\) and \(h_{\alpha }^{m}\) for \(\alpha >0\).
期刊介绍：
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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