On spaces associated with weighted Cesàro and Copson spaces

DOI10.1134/S0001434622030142zbMath1497.46037OpenAlexW4224878995MaRDI QIDQ2133828

Vladimir D. Stepanov

Publication date: 5 May 2022

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

Full work available at URL: https://doi.org/10.1134/s0001434622030142

zbMATH Keywords

Cesàro spaceassociated spaceCopson space

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)

Cites Work

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• On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions
• On the dual of Cesàro function space
• Abstract Cesàro spaces. Duality
• Optimal reconstruction of a Banach function space from a cone of nonnegative functions
• Structure of Cesàro function spaces
• Transferring monotonicity in weighted norm inequalities
• On a property of rearrangement invariant spaces whose second Köthe dual is nonseparable
• On Cesàro and Copson type function spaces. Reflexivity
• Reduction theorems for weighted integral inequalities on the cone of monotone functions
• Boundedness of classical operators on classical Lorentz spaces
• The Weighted Hardy's Inequality for Nonincreasing Functions
• Factorizing the classical inequalities
• Structure of Cesàro function spaces: a survey

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