Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents (Q2053618)

Let \(T\) be a sublinear operator on \(\mathbb{R}^n\). Assume that \(T\) satisfies a size condition and a vector-valued inequality on weighted variable Lebesgue spaces. In this paper, the authors proved a vector-valued inequality for the operator \(T\) in the scale of weighted variable Herz-Morrey spaces.