一个双参数Hilbert型积分算子及其应用（英文）  

On a two-parameter Hilbert-type integral operator and its applications

作　　者：孙文兵[1] 刘琼[1] 

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422000

出　　处：《中国科学院大学学报（中英文）》2016年第6期729-735,共7页Journal of University of Chinese Academy of Sciences

基　　金：Supported by National Natural Science Foundation of China(11171280)

摘　　要：引入两个参数λ_1和λ_2,利用权函数方法和泛函分析技巧,定义一个双参数Hilbert型积分算子,并给出算子的范数.作为应用,获得一些改进的结果,并得到一些具有特殊核的新的Hilbert型积分不等式.In this work, by introducing two parameters λ1 and λ2 and using the method of weight function and the technique of functional analysis, a two-parameter Hilbert-type integral operator is defined and the norm of the operator is given. As applications, a few improved results and some new Hilbert-type integral inequalities with the particular kernels are obtained.

关 键 词：关键词双参数的Hilbert型积分算子 范数 权函数 最佳常数因子 HILBERT型积分不等式 

分 类 号：O178[理学—数学]