Regularity of solutions to elliptic equations on Herz spaces with variable exponents

Abstract

The aim of this paper is to show some regularity properties of solutions to $\mathcal{L} u = f$ , where $\mathcal{L}$ is a second order nondivergence form operator and f belongs to a homogeneous Herz space $\dot{K}^{\alpha,p(\cdot)}_{q(\cdot)}$ with two variable exponents.