一个零齐次核的Hilbert型积分不等式及其逆

A Hilbert-type Integral Inequality and Reverse Forms with the Homogeneous Kernel of Zero Degree

通过引入参数和应用权函数的方法,建立了一个核为零齐次的Hilbert型积分不等式及其等价形式和它们的逆向形式,并证明其常数因子为最佳值.最后,本文给出了一个评注。

By introducing some parameters and using the way of weight function, a new Hilbert - type integral inequality is given with the homogeneous kernel of zero degree, the equivalent form and the reverse forms are also considered. It is proved that the constant factor is the best possible. Finally, the commentary is given in this paper.