{"title":"Remarks On Ornstein’s Non-Inequality In ℝ2×2","authors":"D. Faraco, André Guerra","doi":"10.1093/QMATH/HAAB016","DOIUrl":null,"url":null,"abstract":"\n We give a very concise proof of Ornstein’s L1 non-inequality for first- and second-order operators in two dimensions. The proof just needs a two-dimensional laminate supported on three points.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2021-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QMATH/HAAB016","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quarterly Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1093/QMATH/HAAB016","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 6
Abstract
We give a very concise proof of Ornstein’s L1 non-inequality for first- and second-order operators in two dimensions. The proof just needs a two-dimensional laminate supported on three points.
期刊介绍：
The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.
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