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 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm199-1-1,
author = {Wenjuan Li and Qingying Xue and K\^oz\^o Yabuta},
title = {Multilinear Calder\'on-Zygmund operators on weighted Hardy spaces},
journal = {Studia Mathematica},
volume = {196},
year = {2010},
pages = {1-16},
zbl = {1201.42009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm199-1-1}
}
Wenjuan Li; Qingying Xue; Kôzô Yabuta. Multilinear Calderón-Zygmund operators on weighted Hardy spaces. Studia Mathematica, Tome 196 (2010) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm199-1-1/