ABSTRACT

In the sequel M denotes the set of natural numbers, 1Z the set of reals and 1Z+ the set of nonnegative reals. By a Musielak-Orlicz function <P we understand a sequence of Orlicz functions <t>,, i.e. 4>, : 1Z -> [0, oo) and <l>, vanishes only at zero, it is continuous at zero, left-continuous on the whole 1Z+ , convex and even on 11, and not identically equal to zero for each i e M .