Subdifferentials of convex symmetric functions: An application of the inequality of Hardy, Littlewood, and Pólya

DOI10.1016/0022-247X(88)90167-9zbMath0668.46012MaRDI QIDQ1118131

Anthony Horsley, Andrzej J. Wrobel

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

subdifferentialrearrangement-invariant function spacesbasic convex Schur functionsubgradient of a convex Schur functionweakly lower semicontinuous convex Schur function

Mathematics Subject Classification ID

Partial orders, general (06A06) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) General equilibrium theory (91B50) Convex sets in topological linear spaces; Choquet theory (46A55) Inequalities involving derivatives and differential and integral operators (26D10) Derivatives of functions in infinite-dimensional spaces (46G05)

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Cites Work

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• The Mackey Continuity of the Monotone Rearrangement
• Orbits of L 1 -Functions Under Doubly Stochastic Transformation
• Extreme Points of Some Convex Subsets of L 1 (0, 1)
• Rearrangement Inequalities
• Spectral Orders, Uniform Integrability and Lebesgue's Dominated Convergence Theorem
• Decreasing Rearrangements and Doubly Stochastic Operators
• Inequalities: theory of majorization and its applications

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