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Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicityOrder-sharp estimates for Hardy-type operators on the cones of functions with properties

Estimates for restrictions of monotone operators on the cone of decreasing functions in Orlicz spaceThe restriction of a monotone operator P to the cone Ω of nonnegative decreasing functions from a

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

Hardy-type inequalities on the cones of monotone functions of monotone functions. © 2012 Pleiades Publishing, Ltd.

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

On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions of monotone functions on the half-axis for quasilinear integral operators of iterated type with Oinarov

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.

On Weighted Iterated Hardy-Type Operatorscone of monotone function

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

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