Multilinear Calderón–Zygmund operators on weighted Hardy spaces
Volume 199 / 2010
Studia Mathematica 199 (2010), 1-16
MSC: Primary 42B20; Secondary 42B25.
DOI: 10.4064/sm199-1-1
Abstract
Grafakos–Kalton [Collect. Math. 52 (2001)] discussed the boundedness of multilinear Calderón–Zygmund operators on the product of Hardy spaces. Then Lerner et al. [Adv. Math. 220 (2009)] defined $A_{\vec{p}}$ weights and built a theory of weights adapted to multilinear Calderón–Zygmund operators. In this paper, we combine the above results and obtain some estimates for multilinear Calderón–Zygmund operators on weighted Hardy spaces and also obtain a weighted multilinear version of an inequality for multilinear fractional integrals, which is related to the classical Trudinger inequality.
