In [5], we characterized the uniform convexity with respect to the Luxemburg norm of the Besicovitch-Orlicz space of almost periodic functions. Here we give an analogous result when this space is endowed with the Orlicz norm.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-9, author = {Mohamed Morsli and Fazia Bedouhene}, title = {On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm}, journal = {Colloquium Mathematicae}, volume = {103}, year = {2005}, pages = {97-111}, zbl = {1112.46013}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-9} }
Mohamed Morsli; Fazia Bedouhene. On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm. Colloquium Mathematicae, Tome 103 (2005) pp. 97-111. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-9/