一个全平面非齐次核的Hilbert积分不等式  

A Hilbert's Integral Inequality in the Whole Plane with Non-homogeneous Kernel

作　　者：杨必成 王爱珍 YANG Bicheng;WANG Aizhen(Department of Mathematics,Guangdong University of Education,Guangzhou 510303,China)

机构地区：[1]广东第二师范学院数学系,广州510303

出　　处：《吉林大学学报（理学版）》2018年第4期819-824,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:61772140);广州市科技计划项目(批准号:201707010229)

摘　　要：通过引入独立参量与中间变量,应用权函数及实分析技巧,建立一个具有最佳常数因子的全平面非齐次核的Hilbert积分不等式,并讨论其等价式及特殊情形.By introducing independent parameters and intermediate variables,applying the weight functions and the technique of real analysis,we established a Hilbert＇s integral inequality in the whole plane with a best constant factor and a non-homogeneous kernel,and discussed its equivalent forms and some particular cases.

关 键 词：参数 权函数 全平面Hilbert积分不等式 等价式 中间变量 

分 类 号：O178[理学—数学]