Modular convergence in H-Orlicz spaces of Banach valued functions.

In this article we develop the theory of H-Orlicz space generated by generalised Young function. Modular convergence of H-Orlicz space for the case of vector-valued functions and norm convergence in H θ (X , μ ¯) where X is any Banach space are discussed. Relationships of modular convergence and norm convergence of H-Orlicz spaces are discussed. [ABSTRACT FROM AUTHOR]