The Bohnenblust--Hille inequality for homogeneous polynomials is hypercontractive

Andreas Defant, Leonhard Frerick, Joaquim Ortega-Cerdà +2

The Bohnenblust--Hille inequality says that the ${\ell }^{\frac{2m}{m+1}}$-norm of the coefficients of an $m$-homogeneous polynomial $P$ on $\C^n$ is bounded by $\Vert P{\Vert }_{\infty }$ times…