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
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