Orlicz spaces for a family of measures (Q1093853)

The theory of Orlicz spaces for the case of scalar valued functions and a fixed measure has been presented by \textit{A. C. Zaanen} [Linear Analysis (1960; Zbl 0109.081)]. \textit{J. K. Brooks} and \textit{N. Dinculeanu} [J. Math. Anal. Appl. 54, 348-389 (1976; Zbl 0339.46029)] have established Lebesgue-type integration of vector valued functions with respect to a bounded family of measures. In this paper we shall develop the theory of Orlicz spaces for the case of vector-valued functions and a family of measures.