%0 Journal Article %T Weighted integral inequalities with the geometric mean operator %A Persson Lars-Erik %A Stepanov Vladimir D %J Journal of Inequalities and Applications %D 2002 %I Springer %X The geometric mean operator is defined by A precise two-sided estimate of the norm for , is given and some applications and extensions are pointed out. %K Geometric mean operator %K Hardy inequalities %U http://www.journalofinequalitiesandapplications.com/content/7/327386