## M. Morsli, F. Bedouhene, F. Boulahia

*Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions *

Comment.Math.Univ.Carolinae 43,1 (2002) 103-117. **Abstract:**In [6], the classical Riesz representation theorem is extended to the class of Besicovitch space of almost periodic functions $B^{q}\text {a.p.}$, $q\in ] 1,+\infty [$. 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 $B^{\phi }\text {a.p.}$, where $\phi $ is an Orlicz function.

**Keywords:** Besicovitch-Orlicz space, almost periodic function, reflexivity, duality

**AMS Subject Classification:** 46B20, 42A75

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