Let be a homogeneous nonnegative function of order . By using the weight coefficient method, the equivalent parameter conditions and best constant factors for the validity of the following half-discrete Hilbert-type multiple integral inequality are discussed. Finally, its applications in operator theory are discussed.

中文翻译：

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广义齐次核半离散希尔伯特型多重积分不等式有效性的等效参数条件

让 是阶的齐次非负函数 。通过权重系数法，等效参数条件和最佳常数因子来验证以下半离散希尔伯特型多重积分不等式的有效性讨论。最后，讨论了其在算子理论中的应用。