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{"title":"各向异性Roumieu Gelfand-Shilov空间的非平凡性及其包含","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":"136 S237","pages":"0"},"PeriodicalIF":0.8000,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":\"136 S237\",\"pages\":\"0\"},\"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}","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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