Geodesic
Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 1, pp. 103-117

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In [6], the classical Riesz representation theorem is extended to the class of Besicovitch space of almost periodic functions $B^{q}$\,a.p., $q\in ] 1,+\infty [$ . It is also shown that this space is reflexive. We shall consider here such results in the context of Orlicz spaces, namely in the class of Besicovitch-Orlicz space of almost periodic functions $B^{\phi }$\,a.p., where $\phi $ is an Orlicz function.
Classification : 42A75, 46B20, 46E30
Keywords: Besicovitch-Orlicz space; almost periodic function; reflexivity; duality 
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Morsli, M.; Bedouhene, F.; Boulahia, F. Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 1, pp. 103-117. http://geodesic.mathdoc.fr/item/CMUC_2002__43_1_a8/