关键词: Hilbert重积分不等式, 参数, 最佳常数因子

Abstract: Introducing parameters α,λand norm ‖x‖^α(x∈R_n), and applying the method of weighting coefficients, we gave a new multiple Hilbert’s integral inequality with the best constant factor, and considered its equivalent form. Some new results were obtained.

Key words: Hilbert’s integral inequality, paramter, the best constant factor