The paper is devoted to exhibiting a proof of an analytical extension of the well- known Loomis–Whitney inequality. Such a proof is completely independent of the original one and it is based on the technique of optimal transport, which leads also to fully characterize the equality case.
A proof of a Loomis–Whitney type inequality via optimal transport / Campi, Stefano; Gronchi, Paolo; Salani, Paolo. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 471:(2019), pp. 489-495. [10.1016/j.jmaa.2018.10.087]
A proof of a Loomis–Whitney type inequality via optimal transport
Campi, Stefano;Gronchi, Paolo;Salani, Paolo
2019
Abstract
The paper is devoted to exhibiting a proof of an analytical extension of the well- known Loomis–Whitney inequality. Such a proof is completely independent of the original one and it is based on the technique of optimal transport, which leads also to fully characterize the equality case.
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