具有齐次核的Hilbert型积分不等式的构造特征及应用

摘要

By using the technique of real analysis,the author studied the structural characteristics of Hilbert's type integral inequalities with homogeneous kernel and the necessary and sufficient condition for obtaining the best constant factor,and obtained the analytical expression of the best constant factor.%利用实分析技巧,研究具有齐次核的Hilbert型积分不等式的构造特征及取最佳常数因子的充要条件,得到了最佳常数因子的解析表达式.