{"title":"类非线性弗雷谢特空间和 M. W. Wong 不等式","authors":"Eduard A. Nigsch, Norbert Ortner","doi":"10.1007/s11868-024-00606-1","DOIUrl":null,"url":null,"abstract":"<p>A short proof of M. W. Wong’s inequality <span>\\(\\left\\Vert J_{-s}\\varphi \\right\\Vert _p \\le \\varepsilon \\left\\Vert J_{-t}\\varphi \\right\\Vert _p + C \\left\\Vert \\varphi \\right\\Vert _p\\)</span> is given.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"72 5 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasinormable Fréchet spaces and M. W. Wong’s inequality\",\"authors\":\"Eduard A. Nigsch, Norbert Ortner\",\"doi\":\"10.1007/s11868-024-00606-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A short proof of M. W. Wong’s inequality <span>\\\\(\\\\left\\\\Vert J_{-s}\\\\varphi \\\\right\\\\Vert _p \\\\le \\\\varepsilon \\\\left\\\\Vert J_{-t}\\\\varphi \\\\right\\\\Vert _p + C \\\\left\\\\Vert \\\\varphi \\\\right\\\\Vert _p\\\\)</span> is given.</p>\",\"PeriodicalId\":48793,\"journal\":{\"name\":\"Journal of Pseudo-Differential Operators and Applications\",\"volume\":\"72 5 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-05-03\",\"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/s11868-024-00606-1\",\"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/s11868-024-00606-1","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
给出了M. W. Wong的不等式（(left\Vert J_{-s}\varphi \right\Vert _p \le \varepsilon \left\Vert J_{-t}\varphi \right\Vert _p + C \left\Vert \varphi \right\Vert _p\）的简短证明。
Quasinormable Fréchet spaces and M. W. Wong’s inequality
A short proof of M. W. Wong’s inequality \(\left\Vert J_{-s}\varphi \right\Vert _p \le \varepsilon \left\Vert J_{-t}\varphi \right\Vert _p + C \left\Vert \varphi \right\Vert _p\) is given.
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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