Geodesic
Boundedness for multilinear commutator of Littlewood--Paley operator on Hardy and Herz--Hardy spaces
Lobachevskii journal of mathematics, Tome 22 (2006), pp. 7-18

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In this paper, the $(H^p_{\vec{b}},L^p)$ and $(H\dot{K}^{\alpha,p}_{q,\vec{b}},\dot{K}_q^{\alpha,p})$ type boundedness for the multilinear commutator associated with the Littlewood–Paley operator are obtained.
Keywords: Littlewood–Paley operator, Multilinear commutator, BMO, Hardy space, Herz–Hardy space. 
@article{LJM_2006_22_a1,
     author = {Ch. Wu and L. Liu},
     title = {Boundedness for multilinear commutator of {Littlewood--Paley} operator on {Hardy} and {Herz--Hardy} spaces},
     journal = {Lobachevskii journal of mathematics},
     pages = {7--18},
     publisher = {mathdoc},
     volume = {22},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2006_22_a1/}
}
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Ch. Wu; L. Liu. Boundedness for multilinear commutator of Littlewood--Paley operator on Hardy and Herz--Hardy spaces. Lobachevskii journal of mathematics, Tome 22 (2006), pp. 7-18. http://geodesic.mathdoc.fr/item/LJM_2006_22_a1/