%0 Journal Article %T Equivalent Conditions of a Hilbert-Type Multiple Integral Inequality Holding %A Hong %A Yong %A Liao %A Jianquan %A Yang %A Bicheng %J - %D 2020 %R https://doi.org/10.1155/2020/3050952 %X Let , in this paper, by using the method of weight functions and technique of real analysis; it is proved that the equivalent parameter condition for the validity of multiple integral Hilbert-type inequality with homogeneous kernel of order is , and the calculation formula of its optimal constant factor is obtained. The basic theory and method of constructing a Hilbert-type multiple integral inequality with the homogeneous kernel and optimal constant factor are solved %U https://www.hindawi.com/journals/jfs/2020/3050952/