Resumen de Hardy space estimates for multilinear operators, I.

Loukas Grafakos , Ronald Raphaël Coifman

• In this article we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that necessary and sufficient condition for these operators to map products of Hardy spaces into Hardy spaces is to have a certain number of moments vanishing and under this assumption we prove a Hölder-type inequality in the Hp space context.