Bellman function approach to the sharp constants in uniform convexity

DOI10.1515/acv-2016-0008zbMath1381.28004arXiv1402.4690OpenAlexW2253743831MaRDI QIDQ1693060

Paata Ivanisvili

Publication date: 11 January 2018

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4690

zbMATH Keywords

uniform convexityBellman functionconcave envelopes

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) One-variable calculus (26A06)

Related Items (2)

Hessian of Bellman functions and uniqueness of the Brascamp–Lieb inequality ⋮ Sharpening the triangle inequality: envelopes between \(L^2\) and \(L^p\) spaces

Cites Work

• On Bellman function for extremal problems in BMO
• On the uniform convexity of \(L^p\) and \(l^p\)
• Sharp uniform convexity and smoothness inequalities for trace norms
• Inequality for Burkholder's martingale transform

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