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Optimal embedding of Bessel- and Riesz-type potentials on new order sharp estimates for the norms of these operators on cones of monotonic functions.

Some equivalent criteria for the boundedness of Hardy-type operators on the cone of quasimonotone functions^p dbeta right)^{-1/p} right]. par Let us consider the cones of functions that are monotone with respect

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

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

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

Limitwise monotonic reducibility on sets and on pairs of sets© 2016, Allerton Press, Inc.We study limitwise monotonic sets and pairs of sets. We investigate

Maximality and minimality under limitwise monotonic reducibilityMaximality and minimality under limitwise monotonic reducibility

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

Strongly η-representable degrees and limitwise monotonic functions for some 0′-limitwise monotonic function pseudoincreasing on ℚ. Thus we obtain a description of strongly η

Boundedness of the Riesz Potential in Local Morrey-Type Spaces of monotonic functions

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