一个基本的-1齐次的Hilbert型积分不等式及推广

A Base Hilbert-type Integral Inequality with the Homogeneous Kernel of-1-degree and Extensions

应用权函数及实分析的方法,建立一个基本的、-1齐次的Hilbert型积分不等式,并证明其常数因子为最佳值,还考虑了其等价式,引入多参数的最佳推广式及逆向形式等情形.

By using the way of weight function and the technic of real analysis, a new base Hilbert-type integral inequality with the homogeneous kernel of-1-degree and the best constant factor is given. The equivalent form, the extended integral inequalities with multi-parameter and the reverse forms are considered.