A Non-Archimedean Version of the Classical Hilbert Inequality  

经典Hilbert不等式的p进制版本

作　　者：JIN Jian-jun LI Chun-hua 

机构地区：[1]School of Mathematics Sciences,Hefei University of Technology,Xuancheng Campus,Xuancheng 242000,China [2]School of Computer Science and Information Engineering,Hefei University of Technology,Hefei 230009,China

出　　处：《Chinese Quarterly Journal of Mathematics》2020年第4期431-440,共10页数学季刊（英文版）

基　　金：Supported by National Science Foundation of China (Grant No. 11501157, 11705043,11547137)。

摘　　要：In this note, we introduce and study a p-adic Hilbert-type integral operator and obtain its sharp norm estimate. As applications, we establish a p-adic Hilbert-type inequality with the best constant and its equivalent form.

关 键 词：p-Adic fields p-Adic integral operator p-Adic Hilbert-type inequality Norm of operator 

分 类 号：O178[理学—数学]