Inclusions between weighted Orlicz spaces

Let Phi be a Young function and w be a weight. The weighted Orlicz space L-w(Phi) is a natural generalization of the weighted Lebesgue space L-w(p) (1 <= p <= infinity) and a characterization of an inclusion between weighted Lebesgue spaces is well known. In this study, we will investigate the inclusions between weighted Orlicz spaces L-w1(Phi 1) and L-w2(Phi 2) with respect to Young functions Phi(1), Phi(2) and weights w(1), w(2).(.) Also, we give necessary and sufficient conditions for the equality of these two weighted Orlicz spaces under some conditions. Thereby, we obtain our result.