Asymptotic contractivity of the Bohnenblust--Hille inequality for polynomials with few interacting variables

Jorge Nicolás Caro Montoya, Daniel Núñez Alarcón, Diana Marcela Serrano Rodríguez

Let $K_{m,M}$ denote the optimal Bohnenblust--Hille constant on the class of $m$-homogeneous polynomials all of whose monomials involve at most $M$ different variables. We prove th…