Some collections of functions dense in an Orlicz space (Q1582278)

The author considers the complementary pair of Young functions \((\Phi,\overline\Psi)\) and a translation invariant subspace \(Y\) of \(L_1(\mathbb{R}^n)\cap L_\Phi(\mathbb{R}^n)\). The main results of this paper are sufficient conditions for the space \(Y\) to be dense in the Orlicz space \(L_\Phi(\mathbb{R}^n)\) (see e.g. Theorem 1 and Corollary 1). Very interesting are also three corollaries given on p. 207.