Polynomial Bohnenblust--Hille Bounds and Hardy--Littlewood Inequalities for Finite Local Systems

Anderson Barbosa, Daniel Núñez-Alarcón, Daniel Pellegrino +1

The complex polynomial Bohnenblust--Hille inequality states that, for a $d$-homogeneous polynomial $P:{\mathbb{C}}^N\to \mathbb{C}$, $P(z)={\sum }_{|\alpha |=d}{c}_{\alpha }{z}^{\alpha }$, the coefficient norm $(\s…