论离散的Hilbert型不等式及其算子表示

摘要

引入独立参量及中间变量，应用权系数的方法及实分析技巧，建立离散的、具有最佳常数因子的一般齐次核 Hilbert型不等式，还考虑了其等价式、逆式及算子表示式，并计算了一些特殊核算子的范数。%By introducing independent parameters and interval variables,applying the way of weight coefficients and technique of real analysis,a discrete Hilbert-type inequality with the general homogeneous kernel and a best possible constant factor is provided.Furthermore,the equivalent forms,the reverses, the operator expressions with the norms and some particular examples are considered.