利用权函数方法和实分析及泛函技巧,引入一些特殊函数联合刻划常数因子,建立一个多参数Hilbert型积分不等式,考虑它的等价式,证明它们的常数因子是最佳的.作为应用,通过选取特殊的参数值,得到一些有意义的结果.
By using the method of weight function and the techniques of real analysis and functional analysis and by introducing some special functions to jointly score the constant factor, a Hilbert-type integral inequality with muhi-parameters is given. Its equivalent form is considered, and their constant factor is proved to be the best. Some meaningful results are obtained by choosing the special parameter values.