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Estimates for the norms of integral and discrete operators of Hardy type on cones of quasimonotone functions of functions with certain monotonicity properties; namely, the cones Omega_k of functions fgeq0 such that f

Order Sharp Estimates for Monotone Operators on Orlicz–Lorentz Classes=Y(R:+). Orlicz-Lorentz class is determined as the cone of Lebesgue-measurable functions on (Formula Presented

Minimal Ideal Space for Given Cone of Non-Negative Measurable FunctionsWe consider the optimal embeddings into ideal spaces for cone of functions with properties

On a supremum operator) the weighted Lp -Lq boundedness on the cone of non-increasing functions is characterized. © 2012 Springer Basel

Estimates for the norms of monotone operators on weighted Orlicz–Lorentz classes–Lorentz class is the cone of measurable functions on R+ =(0, ∞) whose decreasing rearrangements with respect

Calculation of the norm of the Hardy operator on the cone of functions with monotonicity propertiesWe present explicit description of the norm for the Hardy operator on the cones.

Iterated Integral Operators on the Cone of Monotone Functions of monotone functions in Lebesgue spaces on the real semiaxis are given.

Limitwise Monotonic Spectra and Their GeneralizationsThe current work studies the limitwise monotonic spectra introduced by Downey, Kach and Turetsky [6

Reduction theorems for weighted integral inequalties on the cone of monotone functionsReduction theorems for weighted integral inequalties on the cone of monotone functions

On additivity of mappings on measurable functionsWe prove the additivity of regular l-additive mappings on hereditary cones of measurable functions

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