An interpolation technique towards the subpolynomial constants in the multilinear Bohnenblust-Hille inequality

2013/09/10 by Daniel Pellegrino, Pellegrino, Daniel, Juan B. Seoane‐Sepúlveda +1
Mathematics · #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1309.2598

openalex publication_date 2013/09/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that a recent interpolative new proof of the Bohnenblust--Hille inequality, when suitably handled, recovers its best known constants. This seems to be unexpectedly surprising since the known interpolative approaches only provide constants having exponential growth. This preprint is no longer an independent submission, it is now contained in the preprint arXiv 1310.2834.

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