Coifman, Ronald R.; Grafakos, Loukas Hardy space estimates for multilinear operators. I. (English) Zbl 0785.47025 Rev. Mat. Iberoam. 8, No. 1, 45-67 (1992). Summary: In this article, we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that a 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 Hölder-type inequality in the \(H^ p\) space context. Cited in 1 ReviewCited in 31 Documents MSC: 47B38 Linear operators on function spaces (general) 46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces Keywords:bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators; Hardy spaces; Hölder-type inequality; moments Citations:Zbl 0785.47026 PDFBibTeX XMLCite \textit{R. R. Coifman} and \textit{L. Grafakos}, Rev. Mat. Iberoam. 8, No. 1, 45--67 (1992; Zbl 0785.47025) Full Text: DOI EuDML