一个全平面非齐次核的Hilbert型积分不等式

A Hilbert-type Integral Inequality with the Non-homogeneous Kernel on the Plane

应用权函数的方法及实分析技巧,建立平面上一个具有最佳常数因子的非齐次核为1/((xy)2+bxy+c)(|b|<2c^(1/2))的Hilbert型积分不等式,还考虑了其等价式与相应逆式.

By using the way of weight functions and the technique of real analysis, a new Hilbert-type integral inequality with the non-homogeneous kernel as and a best constant factor on the plane is given. The equivalent form and the reverses are considered.