Modular and norm inequalities for operators on the cone of decreasing functions in Orlicz space

DOI10.1134/S1064562417030061zbMath1404.42005OpenAlexW2735453524MaRDI QIDQ2404282

Mikhail L. Goldman

Publication date: 18 September 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417030061

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) Inequalities for sums, series and integrals (26D15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (2)

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

Cites Work

• Unnamed Item
• New formulas for decreasing rearrangements and a class of Orlicz-Lorentz spaces
• Weighted modular inequalities for monotone functions
• On the dual of Orlicz–Lorentz space
• Boundedness of classical operators on classical Lorentz spaces
• Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator
• Weighted $L_{Φ}$ integral inequalities for operators of Hardy type
• Order convexity and concavity of Lorentz spaces Λ_p,w, 0<p<∞
• Hardy Operators of Monotone Functions and Sequences in Orlicz Spaces

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