齐次核的Hilbert型多重级数不等式取最佳常数因子的等价条件及应用

Equivalent Condition for Obtaining the Best Constant Factor of Hilbert-Type Multiple Series Inequalities with Homogeneous Kernel and Applications

利用实分析技巧和权函数方法,讨论具有齐次核的多重级数Hilbert型不等式,得到了其取最佳常数因子的充分必要条件,并给出其应用.

By using the technique of real analysis and the method of weight function,the author discussed Hilbert-type multiple series inequalities with homogeneous kernel,obtained the necessary and sufficient condition for obtaining the best constant factor,and gave its applications.