Remarks on the Bohnenblust--Hille inequalities

2018/11/22 by Paulino, Djair, Pellegrino, Daniel, Santos, Joedson
#47A63 (Primary) #47H60 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1811.09172

Abstract

We revisit the Bohnenblust--Hille multilinear and polynomial inequalities and prove some new properties. Our main result is a multilinear version of a recent result on polynomials whose monomials have a uniformly bounded number of variables.

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