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 these assumptions we prove a Holder-type inequality in the space context.
Cite this article
Ronald R. Coifman, Loukas Grafakos, Hardy Space Estimates for Multilinear Operators, I. Rev. Mat. Iberoam. 8 (1992), no. 1, pp. 45–67DOI 10.4171/RMI/116