Revista Matemática Iberoamericana

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Volume 8, Issue 1, 1992, pp. 45–67
DOI: 10.4171/RMI/116

Hardy Space Estimates for Multilinear Operators, I

Ronald R. Coifman[1] and Loukas Grafakos[2]

(1) Department of Mathematics, Yale University, PO Box 208283, CT 06520-8283, NEW HAVEN, UNITED STATES
(2) Department of Mathematics, University of Missouri, MO 65211, COLUMBIA, UNITED STATES

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 $H^p$ space context.

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Coifman Ronald, Grafakos Loukas: Hardy Space Estimates for Multilinear Operators, I. Rev. Mat. Iberoamericana 8 (1992), 45-67. doi: 10.4171/RMI/116