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April 2020 Inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$
Eric A. Carlen, Rupert L. Frank, Elliott H. Lieb
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Ark. Mat. 58(1): 57-69 (April 2020). DOI: 10.4310/ARKIV.2020.v58.n1.a4

Abstract

We study $L^p$ inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$.

Funding Statement

Work partially supported by NSF grants DMS-1501007 (E.A.C.) and DMS-1363432 (R.L.F.).

Citation

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Eric A. Carlen. Rupert L. Frank. Elliott H. Lieb. "Inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$." Ark. Mat. 58 (1) 57 - 69, April 2020. https://doi.org/10.4310/ARKIV.2020.v58.n1.a4

Information

Received: 26 March 2019; Revised: 14 July 2019; Published: April 2020
First available in Project Euclid: 16 January 2021

Digital Object Identifier: 10.4310/ARKIV.2020.v58.n1.a4

Rights: Copyright © 2020 Institut Mittag-Leffler

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Vol.58 • No. 1 • April 2020
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