Musielak--Orlicz Spaces that are Isomorphic to Subspaces of

Abstract

We prove that $$ is equivalent to a Musielak--Orlicz norm $$. We also provide the converse result, i.e., given the Orlicz functions, we provide a formula for the choice of the matrix that generates the corresponding Musielak--Orlicz norm. As a consequence, we obtain the embedding of 2-concave Musielak--Orlicz spaces into $$.