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Keywords:
Orlicz norm; Amemiya norm; conjugate function; Besicovitch-Musielak-Orlicz spaces; almost periodic functions; reflexivity; Riesz theorem
Orlicz norm; Amemiya norm; conjugate function; Besicovitch-Musielak-Orlicz spaces; almost periodic functions; reflexivity; Riesz theorem
Summary:
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.
References:
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