一个联系Gamma函数的第一类Hardy型积分不等式成立的等价条件

Equivalent Conditions of the First Kind of Hardy-Type Integral Inequality Related to the Gamma Function

利用实分析和权函数的方法,研究第一类非齐次核Hardy型积分不等式的若干等价条件,证明联系Gamma函数的常数因子为最佳值.

By the use of techniques of real analysis and weight tunetions, we studied a few equivalent conditions of the first kind of Hardy-type integral inequality with a non-homogeneous kernel. The best possible constant factor related to Gamma function is proved.