Hardy Operators of Monotone Functions and Sequences in Orlicz Spaces

DOI10.1112/jlms/53.2.256zbMath0853.42012OpenAlexW1985262332MaRDI QIDQ4894503

Alois Kufner, Hans P. Heinig

Publication date: 6 January 1997

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/53.2.256

zbMATH Keywords

Hardy operatorHölder inequalitiescone of monotone functionsweighted Orlicz spaceweighted Orlicz modular inequalities

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

Weighted Hardy inequalities for decreasing sequences and functions ⋮ Modular and norm inequalities for operators on the cone of decreasing functions in Orlicz space ⋮ Weighted inequalities for Hardy-type operators on the cone of decreasing functions in an Orlicz space ⋮ Inequalities for Hardy-type operators on the cone of decreasing functions in a weighted Orlicz space ⋮ The modular inequalities for a class of convolution operators on monotone functions ⋮ Estimates for restrictions of monotone operators on the cone of decreasing functions in Orlicz space ⋮ Estimates for the norms of monotone operators on weighted Orlicz-Lorentz classes ⋮ Unnamed Item ⋮ Some remarks on level functions and their applications ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions

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