Estimates of Variable Kernel Parameterized Littlewood-Paley Operators on Variable Herz Spaces

Abstract

In this article, we prove some boundedness results for variable kernel parameterized Littlewood-Paley operators on the homogeneous Herz spaces \(\dot{K}_{p(\cdot)}^{\alpha(\cdot), q(\cdot)}(\mathbb{R}^{n})\). Several known results are extended.