关键词: 多重Hilbert型积分不等式, 齐次函数, 最佳常数因子

Abstract:

Applying methods and techniques of weight function, the author studied the multiple Hilberttype integral inequality with homogeneous  kernel and some functions in the general theory, and discussed its the best constant. The author obtained some new results with universal significance.

Key words: multiple Hilberttype integral inequality, homogeneous function, the best constant factor