Sharpening the triangle inequality: envelopes between \(L^2\) and \(L^p\) spaces

DOI10.2140/APDE.2020.13.1591zbMath1451.42022arXiv1902.02329OpenAlexW2913754414MaRDI QIDQ2210883

Connor Mooney, Paata Ivanisvili

Publication date: 9 November 2020

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02329

zbMATH Keywords

triangle inequalityBellman function\(L^p\) spacesconcave envelopes

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (1)

Inequalities for \(L^p\)-norms that sharpen the triangle inequality and complement Hanner's inequality

Cites Work

• Unnamed Item
• Bellman function approach to the sharp constants in uniform convexity
• Inequalities for \(L^p\)-norms that sharpen the triangle inequality and complement Hanner's inequality
• Inequality for Burkholder's martingale transform
• Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)

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