Imbedding theorems in Orlicz–Sobolev space of differential forms

In this paper, we prove imbedding inequalities with LφLφ-norms in the Orlicz–Sobolev space of the forms and establish LφLφ norm inequalities for the related operators applied to differential forms. We also obtain the global imbedding theorems in Lφ(m)Lφ(m)-averaging domains.