{"title":"A Remark on Davies’ Hardy Inequality","authors":"Y. C. Huang","doi":"10.1134/S0016266323010100","DOIUrl":null,"url":null,"abstract":"<p> We give an “integration by parts” approach to Davies’ Hardy inequality. An improvement with a strictly larger Hardy weight is thereby obtained. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"83 - 86"},"PeriodicalIF":0.6000,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functional Analysis and Its Applications","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S0016266323010100","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: 0
Abstract
We give an “integration by parts” approach to Davies’ Hardy inequality. An improvement with a strictly larger Hardy weight is thereby obtained.
期刊介绍:
Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.