Higher-order commutators of parametrized Littlewood-Paley operators on Herz spaces with variable exponent

Let Ω∈L2(Sn−1) be a homogeneous function of degree zero and b be a BMO or Lipschitz function. In this paper, we obtain some boundedness of the parametrized Littlewood-Paley operators and their high-order commutators on Herz spaces with variable exponent.