{"title":"一些涉及傅里叶变换的不等式","authors":"M. El Hamma, R. Daher, A. Mahfoud, H. Lahmadi","doi":"10.1007/s13370-023-01124-x","DOIUrl":null,"url":null,"abstract":"<div><p>We obtain new inequalities for the Fourier transform in the space <span>\\(\\textrm{L}^{p}(\\mathbb {R}^{n})\\)</span>, <span>\\(1<p\\le 2\\)</span>, using a generalized spherical mean operator for proving the estimates in certain classes of functions characterized by a generalized continuity modulus.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-023-01124-x.pdf","citationCount":"0","resultStr":"{\"title\":\"Some inequalities involving Fourier transforms\",\"authors\":\"M. El Hamma, R. Daher, A. Mahfoud, H. Lahmadi\",\"doi\":\"10.1007/s13370-023-01124-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We obtain new inequalities for the Fourier transform in the space <span>\\\\(\\\\textrm{L}^{p}(\\\\mathbb {R}^{n})\\\\)</span>, <span>\\\\(1<p\\\\le 2\\\\)</span>, using a generalized spherical mean operator for proving the estimates in certain classes of functions characterized by a generalized continuity modulus.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-11-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s13370-023-01124-x.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-023-01124-x\",\"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":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-023-01124-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
We obtain new inequalities for the Fourier transform in the space \(\textrm{L}^{p}(\mathbb {R}^{n})\), \(1<p\le 2\), using a generalized spherical mean operator for proving the estimates in certain classes of functions characterized by a generalized continuity modulus.
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