Boundedness of Littlewood-Paley Operators with Variable Kernel on Weighted Herz Spaces with Variable Exponent

Abstract

Let Ω ∈ L∞(Rn) × L2(Sn−1) be a homogeneous function of degree zero. In this article, we obtain some boundedness of the parameterized Littlewood−Paley operators with variable kernels on weighted Herz spaces with variable exponent.