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

DOI10.1007/s12220-020-00425-yzbMath1475.46028arXiv1807.05599OpenAlexW3032412006MaRDI QIDQ2024702

Elliott H. Lieb, Paata Ivanisvili, Rupert L. Frank, Eric Anders Carlen

Publication date: 4 May 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05599

zbMATH Keywords

convexityMinkowski's inequality$L^p$ 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)

Related Items (2)

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

Cites Work

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• On the uniform convexity of \(L^p\) and \(l^p\)
• Sharp uniform convexity and smoothness inequalities for trace norms
• Inequalities that sharpen the triangle inequality for sums of \(N\) functions in \(L^p\)
• Sharpening the triangle inequality: envelopes between \(L^2\) and \(L^p\) spaces
• Stability estimates for the lowest eigenvalue of a Schrödinger operator

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