一个-3齐次核的Hilbert型积分不等式

A Hilbert-type integral inequality with the kernel of-3-order homogeneous

通过估算权函数,建立一个核含参数且-3齐次的Hilbert型积分不等式及其等价式,并用复分析方法算出其最佳常数因子,还考虑了逆向的情形及一些特殊结果.

By obtaining the weight function, a Hilbert-type inequality with the kernel of order homogeneous and parameters and the equivalent form are given. The best constant factor are calculated by the way of Complex Analysis. The cases of reverse inequalities and particular results are considered.