Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents (Q2046117)

In the paper under review, the author aims to study the mapping properties of singular integral operators and some sublinear operators on the Hardy spaces built on local Morrey spaces with variable exponents. As we all know, a powerful tool for the study of the Hardy type spaces is the atomic and molecular decomposition. But, the author here used the extrapolation theory to obtain these mapping properties. Furthermore, the author obtains the mapping properties of the Calderón-Zygmund operators, the Littlewood-Paley functions and the maximal Bochner-Riesz means on the Hardy local Morrey spaces with variable exponents.