Inequalities that sharpen the triangle inequality for sums of \(N\) functions in \(L^p\)

DOI10.4310/ARKIV.2020.V58.N1.A4zbMath1479.46029arXiv1902.04399OpenAlexW3019967834MaRDI QIDQ2180941

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

Publication date: 18 May 2020

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04399

zbMATH Keywords

Minkowski inequality

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) Functional inequalities, including subadditivity, convexity, etc. (39B62)

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

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