On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions

DOI10.1134/S1064562415050105zbMath1344.46025MaRDI QIDQ906090

Vladimir D. Stepanov

Publication date: 29 January 2016

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

zbMATH Keywords

monotone functionsquasi-concave functionsweighted cone

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)

Related Items (1)

Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties

Cites Work

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• On embeddings between classical Lorentz spaces
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• Boundedness of classical operators on classical Lorentz spaces
• On the Principle of Duality in Lorentz Spaces
• The Weighted Hardy's Inequality for Nonincreasing Functions
• Integral Operators on the Cone of Monotone Functions
• Weighted Hardy-type inequalities on the cone of quasi-concave functions
• Embeddings and Duality Theorems for Weak Classical Lorentz Spaces

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