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INEQUALITIES FOR OPERATORS ON THE CONE OF DECREASING FUNCTIONS IN WEIGHTED ORLICZ SPACENorm inequalities are considered on the cone of nonnegative functions as well as on the cone Ω
Some integral estimates on the cones of functions with the monotonicity conditions of the covering of various cones of functions with monotonicity conditions. We apply the method of covering
On the cones of rearrangements for generalized bessel and Riesz potentials characterization for the cones of decreasing rearrangements of potentials. This is the key result for description
Construction of optimal ideal spaces for cones of nonnegative functionsThe problem of constructing an optimal ideal space for a given cone is considered. To solve
Reduction of Weighted Bilinear Inequalities with Integration Operators on the Cone of Nondecreasing Functions cones of nondecreasing functions on a half-axis with integration operators. © 2018, Pleiades Publishing
An extension of the Krein-Smulian and Lozanovskii theorems to metrizable spaces with a coneThe Krein-Smulian theorem that a closed generating cone in a Banach space is nonflattened and a
On optimal Banach spaces containing a weight cone of monotone or quasiconcave functionsOptimal (minimal) Banach spaces containing given cones of monotone or quasiconcave functions
Optimal banach function space for a given cone of decreasing functions in a weighted Lp - space or optimal Banach function space, containing the given cone of nonnegative, decreasing functions in a
OPTIMAL BANACH FUNCTION SPACE FOR A GIVEN CONE OF DECREASING FUNCTIONS IN A WEIGHTED L-p - SPACE or optimal Banach function space, containing the given cone of nonnegative, decreasing functions in a
ESTIMATES FOR DECREASING REARRANGEMENTS OF CONVOLUTION AND COVERINGS OF CONES for equivalent descriptions of the cones of decreasing rearrangements for generalized Bessel and Riesz potentials
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