Modular and norm inequalities for operators on the cone of decreasing functions in Orlicz space
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DOI: 10.1134/s1064562417030061
Abstract: Modular and norm inequalities are considered for positively homogeneous operators on the cone of all nonnegative functions and on the cone Ω of nonnegative decreasing functions from the weighted Orlicz space with a general weight… read more here.
Keywords: norm; norm inequalities; modular norm; orlicz space ... See more keywords
Inequalities for Hardy-type operators on the cone of decreasing functions in a weighted Orlicz space
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DOI: 10.1134/s1064562417060059
Abstract: Modular inequalities and inequalities for the norms of Hardy-type operators on the cone Ω of positive functions and on the cone of positive decreasing functions with common weight and common Young function in a weighted… read more here.
Keywords: space; type operators; operators cone; orlicz space ... See more keywords
Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm
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DOI: 10.7494/opmath.2021.41.5.629
Abstract: In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm. Some properties of the set of attainable points of the… read more here.
Keywords: space almost; space; besicovitch orlicz; extreme points ... See more keywords