Geodesic
Duality properties and Riesz representation theorem in Besicovitch-Musielak-Orlicz space of almost periodic functions
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 2, pp. 237-251.

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This paper is an extension of the work done in [Morsli M., Bedouhene F., Boulahia F., Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions, Comment. Math. Univ. Carolin. 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.
Classification : 42A75, 46B20
Keywords: Orlicz norm; Amemiya norm; conjugate function; Besicovitch-Musielak-Orlicz spaces; almost periodic functions; reflexivity; Riesz theorem 
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Daoui, A.; Morsli, M.; Smaali, M. Duality properties and Riesz representation theorem in Besicovitch-Musielak-Orlicz space of almost periodic functions. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 2, pp. 237-251. http://geodesic.mathdoc.fr/item/CMUC_2012__53_2_a5/