Abstract
In this paper, the authors prove that the commutator [b,L] is a compact operator in Lp(Rn) if and only if b $\in$ VMO(Rn), where L denotes the Littlewood-Paley operators, such as the Littlewood-Paley g-function, Lusin area integral and Littlewood-Paley gλ* function.
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