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, Washington University, 1 Brookings Drive, Campus Box 1146, MO 63130, ST. LOUIS, 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 R, Grafakos L. Hardy Space Estimates for Multilinear Operators, I. Rev. Mat. Iberoamericana 8 (1992), 45-67. doi: 10.4171/RMI/116