{"title":"Josephy's theorem, revisited","authors":"Daria Bugajewska, Piotr Kasprzak","doi":"arxiv-2407.14169","DOIUrl":null,"url":null,"abstract":"The main goal of this note is to characterize the necessary and sufficient\nconditions for a composition operator to act between spaces of mappings of\nbounded Wiener variation in a normed-valued setting. The necessary and\nsufficient conditions for local boundedness of such operators are also\ndiscussed.","PeriodicalId":501145,"journal":{"name":"arXiv - MATH - Classical Analysis and ODEs","volume":"93 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.14169","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The main goal of this note is to characterize the necessary and sufficient
conditions for a composition operator to act between spaces of mappings of
bounded Wiener variation in a normed-valued setting. The necessary and
sufficient conditions for local boundedness of such operators are also
discussed.
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