{"title":"向量值可微函数的2-局部等距","authors":"Lei Li, Siyu Liu, Weiyun Ren","doi":"10.1007/s43034-023-00295-9","DOIUrl":null,"url":null,"abstract":"<div><p>Let <i>Q</i>, <i>K</i> be connected open subsets of <span>\\(\\mathbb {R}^m\\)</span> and <i>A</i>(<i>X</i>), <i>A</i>(<i>Y</i>) be some kind of function spaces. We will study the 2-local isometries between the vector-valued differentiable function spaces <span>\\(C_0^p(Q, A(X))\\)</span> and <span>\\(C_0^p(K, A(Y))\\)</span>, and show that they can be written as weighted composition operators.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"2-Local isometries on vector-valued differentiable functions\",\"authors\":\"Lei Li, Siyu Liu, Weiyun Ren\",\"doi\":\"10.1007/s43034-023-00295-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Let <i>Q</i>, <i>K</i> be connected open subsets of <span>\\\\(\\\\mathbb {R}^m\\\\)</span> and <i>A</i>(<i>X</i>), <i>A</i>(<i>Y</i>) be some kind of function spaces. We will study the 2-local isometries between the vector-valued differentiable function spaces <span>\\\\(C_0^p(Q, A(X))\\\\)</span> and <span>\\\\(C_0^p(K, A(Y))\\\\)</span>, and show that they can be written as weighted composition operators.</p></div>\",\"PeriodicalId\":48858,\"journal\":{\"name\":\"Annals of Functional Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-08-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Functional Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s43034-023-00295-9\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Functional Analysis","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s43034-023-00295-9","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
2-Local isometries on vector-valued differentiable functions
Let Q, K be connected open subsets of \(\mathbb {R}^m\) and A(X), A(Y) be some kind of function spaces. We will study the 2-local isometries between the vector-valued differentiable function spaces \(C_0^p(Q, A(X))\) and \(C_0^p(K, A(Y))\), and show that they can be written as weighted composition operators.
期刊介绍：
Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group.
Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory.
Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.
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