| On a p-adic Hilbert-type integral operator and its applications |
| |
| 作者姓名： | Huabing Li Jianjun Jin |
| |
| 作者单位： | School of Mathematics Sciences, Hefei University of Technology, XuanchengCampus, Xuancheng 242000, P.R.China,School of Mathematics Sciences, Hefei University of Technology, Xuancheng Campus, Xuancheng 242000, P.R.China |
| |
| 摘 要： |
|
| 收稿时间： | 2019/6/21 0:00:00 |
| 修稿时间： | 2020/6/16 0:00:00 |
On a p-adic Hilbert-type integral operator and its applications |
| |
| Huabing Li,Jianjun Jin.On a p-adic Hilbert-type integral operator and its applications[J].Journal of Applied Analysis & Computation,2020,10(4):1326-1334. |
| |
| Authors: | Huabing Li and Jianjun Jin |
| |
| Institution: | School of Mathematics Sciences, Hefei University of Technology, XuanchengCampus, Xuancheng 242000, P.R.China and School of Mathematics Sciences, Hefei University of Technology, Xuancheng Campus, Xuancheng 242000, P.R.China |
| |
| Abstract: | In this note, we deal with a $p$-adic Hilbert-type integral operator induced by a symmetric homogeneous kernel of degree $-1$ and obtain the expression of the norm of this operator. As applications, we establish some new $p$-adic Hilbert-type inequalities with best constant factors. |
| |
| Keywords: | p-adic field p-adic Hilbert-type integral operator p-adic Hilbert-type inequalities norm of operator |
|
| 点击此处可从《Journal of Applied Analysis & Computation》浏览原始摘要信息 |
| 点击此处可从《Journal of Applied Analysis & Computation》下载免费的PDF全文 |
