Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces

Abstract

In this paper, the authors show that the maximal operators of the multilinear Calderón-Zygmund singular integrals are bounded from a product of weighted Hardy spaces into a weighted Lebesgue spaces, which essentially extend and improve the previous known results obtained by Grafakos and Kalton (2001) and Li, Xue and Yabuta (2011). The corresponding estimates on variable Hardy spaces are also established.

Keywords

Weighted Hardy spaces / Variable Hardy spaces / Maximal operators / Multilinear Calderón-Zygmund operators / Multiple weights

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