一类具有非齐次核的Hilbert型积分不等式成立的充要条件及其应用

摘要

利用实分析方法和技巧,讨论一类具有非齐次核K (x ,y )=G (xλ1 yλ2 )rn的 Hilbert 型积分不等式成立的充要条件及最佳常数因子,并研究其在算子理论中的应用.%By means of methods and techniques of real analysis,we discussed the necessary and sufficient condition and the best constant factor for a class of Hilbert-type integral inequality with a non-homoeneous kernel K (x ,y )=G (xλ1 yλ2 )and studied its application in the operator theory.