The Bohnenblust--Hille inequality combined with an inequality of Helson

Abstract

We give a variant of the Bohenblust-Hille inequality which, for certain families of polynomials, leads to constants with polynomial growth in the degree.

References in corpus (1)

• The Bohnenblust--Hille inequality for homogeneous polynomials is hypercontractive

Cited by in corpus (2)

• Complex polynomial Bohnenblust--Hille inequality with polynomial bounds
• Bohnenblust--Hille inequality for polynomials whose monomials have uniformly bounded number of variables