Weighted inequalities for Hardy-type operators on the cone of decreasing functions in an Orlicz space

DOI10.1134/S0001434617110037zbMath1432.42009OpenAlexW2779954070MaRDI QIDQ1702465

Mikhail L. Goldman, Elza G. Bakhtigareeva

Publication date: 28 February 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617110037

zbMATH Keywords

Hardy operatorcone of decreasing functionsweighted Orlicz spacegeneralized Hardy operatormodular inequality

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)

Related Items (1)

Hardy-Steklov operators and the duality principle in weighted first-order Sobolev spaces on the real axis

Cites Work

• Unnamed Item
• 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
• Weighted modular inequalities for monotone functions
• Modular and norm inequalities for operators on the cone of decreasing functions in Orlicz space
• Boundedness of classical operators on classical Lorentz spaces
• Weighted $L_{Φ}$ integral inequalities for operators of Hardy type
• The modular inequalities for a class of convolution operators on monotone functions
• Hardy Operators of Monotone Functions and Sequences in Orlicz Spaces

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