  In this paper, we consider the atomic decomposition for Morrey-Lorentz spaces
and applications. Morrey-Lorentz spaces, which have structures of Morrey
spaces, Lorentz spaces and their weak-type spaces, are introduced by M. A.
Ragusa in 2012. Our study gave some extension of the atomic decomposition to
Morrey-Lorentz spaces. As an application, the Olsen inequality can be obtained
more sharpness.
