Abstract:This paper is an extension of the work done in [Morsli M., Bedouhene~F., Boulahia F., {\it Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions\/}, Comment. Math. Univ. Carolin. {\bf 43} (2002), no.~1, 103--117] to the Besicovitch-Musielak-Orlicz space of almost periodic functions. Necessary and sufficient conditions for the reflexivity of this space are given. A Riesz type ``duality representation theorem'' is also stated.
Keywords: Orlicz norm, Amemiya norm, conjugate function, Besicovitch-Musielak-Orlicz spaces, almost periodic functions, reflexivity, Riesz theorem
AMS Subject Classification: 46B20 42A75