若干新的p进制Hardy-Littlewood-Pólya型不等式  

Some New p-adic Hardy-Littlewood-Pólya-type Inequalities

作　　者：金建军 Jian Jun JIN(Hefei University of Technology,Xuancheng Campus,Xuancheng 242000,P.R.China)

机构地区：[1]合肥工业大学宣城校区基础部,宣城242000

出　　处：《数学学报（中文版）》2020年第6期639-646,共8页Acta Mathematica Sinica：Chinese Series

摘　　要：本文建立了若干新的具最佳常数因子的p进制Hardy-Littlewood-Pólya型不等式,同时也给出了它们的等价形式以及一些特殊结果.In this note,we establish some new p-adic Hardy-Littlewood-Pólya-type inequalities with the best constant factors.The equivalent forms of these inequalities and some particular cases are also considered.

关 键 词：p进制域 p进制积分算子 p进制Hardy-Littlewood-Pólya型不等式 算子范数 

分 类 号：O178[理学—数学]