Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill
{"title":"幂加权哈代-雷利克式不等式的对数改进","authors":"Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill","doi":"10.1007/s43034-024-00381-6","DOIUrl":null,"url":null,"abstract":"<div><p>The principal purpose of this note is to prove a logarithmic refinement of the power weighted Hardy–Rellich inequality on <i>n</i>-dimensional balls, valid for the largest variety of underlying parameters and for all dimensions <span>\\(n \\in {\\mathbb {N}}\\)</span>, <span>\\(n\\ge 2\\)</span>.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-024-00381-6.pdf","citationCount":"0","resultStr":"{\"title\":\"Logarithmic refinements of a power weighted Hardy–Rellich-type inequality\",\"authors\":\"Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill\",\"doi\":\"10.1007/s43034-024-00381-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The principal purpose of this note is to prove a logarithmic refinement of the power weighted Hardy–Rellich inequality on <i>n</i>-dimensional balls, valid for the largest variety of underlying parameters and for all dimensions <span>\\\\(n \\\\in {\\\\mathbb {N}}\\\\)</span>, <span>\\\\(n\\\\ge 2\\\\)</span>.</p></div>\",\"PeriodicalId\":48858,\"journal\":{\"name\":\"Annals of Functional Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2024-08-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s43034-024-00381-6.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Functional Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s43034-024-00381-6\",\"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/s43034-024-00381-6","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
本论文的主要目的是证明 n 维球上的幂加权哈代-雷利克不等式的对数改进，它对最大范围的基础参数和所有维度都有效（n \in {\mathbb {N}}\), \(n\ge 2\).
Logarithmic refinements of a power weighted Hardy–Rellich-type inequality
The principal purpose of this note is to prove a logarithmic refinement of the power weighted Hardy–Rellich inequality on n-dimensional balls, valid for the largest variety of underlying parameters and for all dimensions \(n \in {\mathbb {N}}\), \(n\ge 2\).
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
