{"title":"On the non-triviality of anisotropic Roumieu Gelfand–Shilov spaces and inclusion between them","authors":"M’Hamed Bensaid, Rachid Chaïli","doi":"10.1515/gmj-2023-2087","DOIUrl":null,"url":null,"abstract":"Abstract The purpose of this work is to prove the non-triviality of anisotropic Roumieu Gelfand–Shilov spaces <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:msubsup> <m:mi>S</m:mi> <m:mrow> <m:mo stretchy=\"false\">{</m:mo> <m:mi>N</m:mi> <m:mo stretchy=\"false\">}</m:mo> </m:mrow> <m:mrow> <m:mo stretchy=\"false\">{</m:mo> <m:mi>M</m:mi> <m:mo stretchy=\"false\">}</m:mo> </m:mrow> </m:msubsup> <m:mo></m:mo> <m:mrow> <m:mo stretchy=\"false\">(</m:mo> <m:msup> <m:mi>ℝ</m:mi> <m:mi>n</m:mi> </m:msup> <m:mo stretchy=\"false\">)</m:mo> </m:mrow> </m:mrow> </m:math> {S^{\\{M\\}}_{\\{N\\}}(\\mathbb{R}^{n})} , and to establish the inclusion between them.","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Georgian Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/gmj-2023-2087","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Abstract The purpose of this work is to prove the non-triviality of anisotropic Roumieu Gelfand–Shilov spaces S{N}{M}(ℝn) {S^{\{M\}}_{\{N\}}(\mathbb{R}^{n})} , and to establish the inclusion between them.
期刊介绍：
The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.
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