A Multidimensional Discrete Hilbert-Type Inequality

In this paper, by using the way of weight coecients and technique of real analysis, a multidimensional discrete Hilbert-type inequality with a best possible constant factor is given. The equivalent form, the operator expression with the norm are considered. Foundation item: This work is supported by the National Natural Science Foundation of China (No.61370186), and 2012 Knowledge Construction Special Foundation Item of Guangdong Institution of Higher Learning College and University (No. 2012KJCX0079).