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具有一般齐次核多维的半离散Hardy-Hilbert型不等式
An Extended Multidimensional Half-discrete Hardy-Hilbert-type Inequality with Homogeneous Kernel
利用权函数、转换公式和实分析技巧，给出一个具有一般齐次核和最佳常数因子的多维半离散Hardy-Hilbert型不等式，它是一个已知结果的推广.此外，还讨论了等价形式、算子表示以及几种特殊应用例子.
By the use of the weight functions, the transfer formula and the technique of real analysis, an extended multidimensional half-discrete Hardy–Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given, which is an extension of a published result. Moreover, the equivalent forms, a few particular cases and the operator expressions with some examples are considered.
半离散Hardy-Hilbert型不等式 / 权函数 / 等价形式 / 算子 / 范数 {{custom_keyword}} /
half-discrete Hardy-Hilbert-type inequality / weight function / equivalent form / operator / norm {{custom_keyword}} /
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国家自然科学基金资助项目（61772140）；广州市科技规划项目（201707010229）
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