Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions
Morsli, Mohamed ; Bedouhene, Fazia ; Boulahia, Fatiha
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 103-117 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2002-01-01
Classification:  42A75,  46B20,  46E30 
@article{119303,
     author = {Mohamed Morsli and Fazia Bedouhene and Fatiha Boulahia},
     title = {Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {103-117},
     zbl = {1090.46010},
     mrnumber = {1903310},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119303}
}

Morsli, Mohamed; Bedouhene, Fazia; Boulahia, Fatiha. Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 103-117. http://gdmltest.u-ga.fr/item/119303/

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