×

Hardy space estimates for multilinear operators. I. (English) Zbl 0785.47025

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.

MSC:

47B38 Linear operators on function spaces (general)
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces

Citations:

Zbl 0785.47026
PDFBibTeX XMLCite
Full Text: DOI EuDML