Coincidence of strict s-numbers of weighted Hardy operators

We establish the equality of all the so-called strict s-numbers of the weighted Hardy operator T : L p ( I ) → L p ( I ) , where 1 < p < ∞ , I = ( a , b ) ⊂ R and T f ( x ) = v ( x ) ∫ a x u ( t ) f ( t ) d t , u and v being prescribed functions satisfying certain integrability conditions.