Geodesic
Characterization of the k−convexity property in the Besicovitch-Orlicz space of almost periodic functions
Commentationes Mathematicae, Tome 45 (2005) no. 1, pp. 11-21.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In the present paper, we give criteria for the k−convexity of the Besicovitch-Orlicz space of almost periodic functions. Namely, it is shown that k-convexity is equivalent to strict convexity and reflexivity of this space in the case of Luxemburg norm.
DOI : 10.14708/cm.v45i1.5224
Mots-clés : modular function space, nonlinear integral operator, Cauchy conservative family of operators 
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Fazia Bedouhene; Mohamed Morsli. Characterization of the k−convexity property in the Besicovitch-Orlicz space of almost periodic functions. Commentationes Mathematicae, Tome 45 (2005) no. 1, pp.  11-21. doi : 10.14708/cm.v45i1.5224. http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i1.5224/

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