Reduction theorems for weighted integral inequalities on the cone of monotone functions operators in weighted Lebesgue spaces on the real semi-axis and valid on the
cone of
monotone functions On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functionsA precise description of optimal Banach spaces containing a weighted
cone of
monotone or quasi
Ideal Envelopes for Cones of Functions with Properties of Monotonicity of operators on the
cones of
monotone functions may differ essentially from ones over whole space.
Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties of nonnegative
functions with
monotonicity properties. The construction employs nondegenerate operators. We
Weighted Inequalities for Quasilinear Integral Operators on the Cone of Monotone Functions for the weighted Hardy-type inequalities for the quasi-linear operators on the
cone of
monotone functions