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Keywords:
Besicovitch-Orlicz space; almost periodic function; reflexivity; duality
Besicovitch-Orlicz space; almost periodic function; reflexivity; duality
Summary:
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.
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