{"title":"函数空间中的截断和组合","authors":"Hans Triebel","doi":"10.1134/s0081543823050140","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> The paper deals with some recent assertions about truncations <span>\\(f\\mapsto |f|\\)</span> and compositions <span>\\(f\\mapsto g\\circ f\\)</span> in the spaces <span>\\(A^s_{p,q}(\\mathbb R^n)\\)</span>, <span>\\(A\\in\\{B,F\\}\\)</span>. </p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Truncations and Compositions in Function Spaces\",\"authors\":\"Hans Triebel\",\"doi\":\"10.1134/s0081543823050140\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p> The paper deals with some recent assertions about truncations <span>\\\\(f\\\\mapsto |f|\\\\)</span> and compositions <span>\\\\(f\\\\mapsto g\\\\circ f\\\\)</span> in the spaces <span>\\\\(A^s_{p,q}(\\\\mathbb R^n)\\\\)</span>, <span>\\\\(A\\\\in\\\\{B,F\\\\}\\\\)</span>. </p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0081543823050140\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0081543823050140","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The paper deals with some recent assertions about truncations \(f\mapsto |f|\) and compositions \(f\mapsto g\circ f\) in the spaces \(A^s_{p,q}(\mathbb R^n)\), \(A\in\{B,F\}\).
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