J. Bastero et Fj. Ruiz, ELEMENTARY REVERSE HOLDER TYPE INEQUALITIES WITH APPLICATION TO OPERATOR INTERPOLATION THEORY, Proceedings of the American Mathematical Society, 124(10), 1996, pp. 3183-3192
We give a very elementary proof of the reverse Holder type inequality
for the classes of weights which characterize the boundedness on L(p)
of the Hardy operator for nonincreasing functions. The same technique
is applied to Calderon operator involved in the theory of interpolatio
n for general Lorentz spaces. This allows us to obtain further consequ
ences for intermediate interpolation spaces.