Commutators of Littlewood-Paley Operators on Herz Spaces with Variable Exponent

Abstract

Let $\Omega\in L^2(\mathrm{S}^{n-1})$ be homogeneous function of degree zero and $b$ be BMO functions. In this paper, we obtain some boundedness of the Littlewood-Paley Operators and their higher-order commutators on Herz spaces with variable exponent.