加权Orlicz空间中Hardy-Hilbert不等式  

The Hardy-Hilbert’s Inequalities in Weighted Orlicz Space

作　　者：段丽芬 崔红雨 李雪峰 DUAN Li-fen;CUI Hong-yu;LI Xue-feng(School of Mathematics,Tonghua Normal University,Tonghua,Jilin 134002,China)

机构地区：[1]通化师范学院数学学院,吉林通化134002 [2]靖宇县教育局教育科研所

出　　处：《通化师范学院学报》2019年第6期21-24,共4页Journal of Tonghua Normal University

基　　金：吉林省教育厅“十三五”科研规划项目(JJKH20180859KJ)

摘　　要：给出了加权Orlicz空间中Hardy-Hilbert不等式的一种参量化的推广形式,得到了当N-函数M(u)及其余N-函数N(v)均满足Δ′条件时,加权Orlicz空间中积分型和双级数型Hardy-Hilbert不等式.A generalization of the Hardy-Hilbert inequalities with parameter in weighted Orlicz space is investigated. Both the double serical and integral type Hardy-Hilbert inequalities in weighted Orlicz Space are established under the conditions that both the N-function and its complentary N-function satisfy the Δ′condition.

关 键 词：加权Orlicz空间 HARDY-HILBERT不等式 N-函数 Δ′条件 

分 类 号：O174.4[理学—数学]