Vector valued Orlicz spaces. II

Abstract

In this paper properties of linear spaces generated by GNfunctions, which are called vector valued Orlicz spaces, are studied. The class of G-functions were introduced and studied by the author in the paper Vector Valued Orlicz Spaces, I. This work extends the usual theory of Orlicz spaces generated by real valued -functions of a real variable. In particular, GN-functions are a generalization of the variable N-functions used by Portnov and the nondecreasing N-functions by Wang.