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Boundedness of a class of quasilinear operators on the cone of monotone functionsBoundedness of a class of quasilinear operators on the cone of monotone functions

Weight boundedness of a class of quasilinear operators on the cone of monotone functionsWeight boundedness of a class of quasilinear operators on the cone of monotone functions

Weighted Hardy-type inequalities for supremum operators on the cones of monotone functionsWeighted Hardy-type inequalities for supremum operators on the cones of monotone functions

An optimal ideal space for a cone of generalized doubly monotonic functionsAn optimal ideal space for a cone of generalized doubly monotonic functions

On the Boundedness of Quasilinear Integral Operators of Iterated Type with Oinarov’s Kernels on the Cone of Monotone Functions on the Cone of Monotone Functions

Reduction theorems for operators on the cones of monotone functionsFor a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone

Two-sided hardy-type inequalities for monotone functionsWe consider Hardy-type operators on the cones of monotone functions with general positive σ

The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functionsWe study the problem of characterizing the weighted inequalities on the Lebesgue cones of monotone

Boundedness of quasilinear integral operators on the cone of monotone functionsWe study the problem of characterizing weighted inequalities on Lebesgue cones of monotone

Criteria for embedding of generalized Bessel and Riesz potential spaces in rearrangement invariant spaces descriptions for the cones of decreasing rearrangement of potentials. Covering and equivalence of cones

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