{"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}
引用次数: 0
Abstract
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.