The Riesz convergence property on weighted Lorentz spaces and Orlicz-Lorentz spaces

In this paper, we define new Orlicz-Lorentz spaces . We find the necessary condition and sufficient condition for quasi-normed weighted Lorentz spaces to have Riesz convergence property. Also, we find the similar result for quasi-normed Orlicz-Lorentz space . Furthermore, we find a necessary and sufficient condition for quasi-normed spaces and to have Riesz convergence property where X is a resonant measure space.