JournalsrmiVol. 8 , No. 1pp. 69–92

Hardy Space Estimates for Multilinear Operators, II

  • Loukas Grafakos

    University of Missouri, Columbia, USA
Hardy Space Estimates for Multilinear Operators, II cover
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Abstract

We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r1r ≤ 1 for which these operators map products of Lebesgue spaces Lp(\mathbbRn)L^p(\mathbbR^n) into the Hardy spaces Hr(\mathbbRn)H^r(\mathbbR^n). At the endpoint case r=n/(n+m+1)r = n/(n + m + 1), where mm is the highest vanishing moment of the multilinear operator, we prove a weak type result.

Cite this article

Loukas Grafakos, Hardy Space Estimates for Multilinear Operators, II. Rev. Mat. Iberoam. 8 (1992), no. 1 pp. 69–92

DOI 10.4171/RMI/117